{"id":234570,"date":"2022-09-21T14:45:00","date_gmt":"2022-09-21T09:15:00","guid":{"rendered":"https:\/\/www.aakash.ac.in\/blog\/?post_type=web-story&#038;p=234570"},"modified":"2022-09-22T12:06:37","modified_gmt":"2022-09-22T06:36:37","slug":"for-every-positive-integer-n-7-n-3-n-is-divisible-by-4","status":"publish","type":"web-story","link":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/","title":{"rendered":"For every positive integer n, 7  n  \u22123  n   is divisible by 4."},"content":{"rendered":"<p><html amp=\"\" lang=\"en\"><head><meta charSet=\"utf-8\"\/><meta name=\"viewport\" content=\"width=device-width,minimum-scale=1,initial-scale=1\"\/><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0.js\"><\/script><script async=\"\" src=\"https:\/\/cdn.ampproject.org\/v0\/amp-story-1.0.js\" custom-element=\"amp-story\"><\/script><link href=\"https:\/\/fonts.googleapis.com\/css2?display=swap&amp;family=Montserrat&amp;family=Libre+Baskerville%3Awght%40400%3B700\" rel=\"stylesheet\"\/>\n<style amp-boilerplate=\"\">body{-webkit-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-moz-animation:-amp-start 8s steps(1,end) 0s 1 normal both;-ms-animation:-amp-start 8s steps(1,end) 0s 1 normal both;animation:-amp-start 8s steps(1,end) 0s 1 normal both}@-webkit-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-moz-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-ms-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@-o-keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}@keyframes -amp-start{from{visibility:hidden}to{visibility:visible}}<\/style>\n<p><noscript><\/p>\n<style amp-boilerplate=\"\">body{-webkit-animation:none;-moz-animation:none;-ms-animation:none;animation:none}<\/style>\n<p><\/noscript><\/p>\n<style amp-custom=\"\">\n              amp-story-page {\n                background-color: #131516;\n              }<\/p>\n<p>              amp-story-grid-layer {\n                overflow: visible;\n              }<\/p>\n<p>              @media (max-aspect-ratio: 9 \/ 16)  {\n                @media (min-aspect-ratio: 320 \/ 678) {\n                  amp-story-grid-layer.grid-layer {\n                    margin-top: calc((100% \/ 0.5625 - 100% \/ 0.6666666666666666) \/ 2);\n                  }\n                }\n              }<\/p>\n<p>              @media not all and (min-resolution:.001dpcm) {\n                @media {\n                  p.text-wrapper > span {\n                    font-size: calc(100% - 0.5px);\n                  }\n                }\n              }<\/p>\n<p>              .page-fullbleed-area,\n              .page-background-overlay-area {\n                position: absolute;\n                overflow: hidden;\n                width: 100%;\n                left: 0;\n                height: calc(1.1851851851851851 * 100%);\n                top: calc((1 - 1.1851851851851851) * 100% \/ 2);\n              }<\/p>\n<p>              .element-overlay-area {\n                position: absolute;\n                width: 100%;\n                height: 100%;\n                top: 0;\n                left: 0;\n              }<\/p>\n<p>              .page-safe-area {\n                overflow: visible;\n                position: absolute;\n                top: 0;\n                bottom: 0;\n                left: 0;\n                right: 0;\n                width: 100%;\n                height: calc(0.84375 * 100%);\n                margin: auto 0;\n              }<\/p>\n<p>              .mask {\n                position: absolute;\n                overflow: hidden;\n              }<\/p>\n<p>              .fill {\n                position: absolute;\n                top: 0;\n                left: 0;\n                right: 0;\n                bottom: 0;\n                margin: 0;\n              }<\/p>\n<p>              @media (prefers-reduced-motion: no-preference) {\n                .animation-wrapper {\n                  opacity: var(--initial-opacity);\n                  transform: var(--initial-transform);\n                }\n              }<\/p>\n<p>              amp-story-grid-layer.align-bottom {\n                align-content: end;\n                padding: 0;\n              }<\/p>\n<p>              .captions-area {\n                padding: 0 32px 0;\n              }<\/p>\n<p>              amp-story-captions {\n                margin-bottom: 16px;\n                text-align: center;\n              }<\/p>\n<p>              amp-story-captions span {\n                display: inline-block;\n                margin: 0;\n                padding: 6px 12px;\n                vertical-align: middle;\n                border-radius: 15px;\n                background: rgba(11, 11, 11, 0.6);\n                color: rgba(255, 255, 255, 1);\n                font-family: -apple-system, BlinkMacSystemFont, \"Segoe UI\", Roboto, Oxygen-Sans, Ubuntu, Cantarell, \"Helvetica Neue\", sans-serif;;\n                font-size: calc(4 * var(--story-page-vw));\n                line-height: 1.4;\n                word-break: break-word;\n                word-wrap: break-word;\n                overflow-wrap: break-word;\n              }\n              <\/style>\n<p><meta name=\"web-stories-replace-head-start\"\/><title>For every positive integer n, 7  n  \u22123  n   is divisible by 4.<\/title><link rel=\"canonical\" href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/\"\/><meta name=\"web-stories-replace-head-end\"\/><\/head><body><amp-story standalone=\"\" publisher=\"Aakash BYJU&amp;#039;S Blog\" publisher-logo-src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/blue.png\" title=\"For every positive integer n, 7  n  \u22123  n   is divisible by 4.\" poster-portrait-src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg\"><amp-story-page id=\"5324cff1-e27f-4a44-b730-dc2896d0dbd2\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #00a0e3 0%, #fff 33%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-601b3b63-8f58-44a9-8dfd-d9dbd5c7241f\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:-15.89806%;top:-9.87055%;width:131.06796%;height:63.43042%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-0f93ad59-bed6-4b5e-93e2-1c73879a69e2\">\n<div style=\"position:absolute;width:106.25331%;height:100%;left:-3.12665%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/5890110_1737-scaled.jpg\" alt=\"People getting answers for troubling questions\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.37864%;top:50.16181%;width:75.24272%;height:3.23625%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6451612903225806% 0.6451612903225806% 0.6451612903225806% 0.6451612903225806% \/ 10% 10% 10% 10%\" id=\"el-f40a234f-8e89-4132-9821-1494c90ab128\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.7251612903225804% 0;font-family:&quot;Montserrat&quot;,sans-serif;font-size:0.258900em;line-height:1.5;text-align:center;padding:0;color:#000000\"><span><span style=\"letter-spacing: 0.01em\">By Team Aakash BYJU&#8217;S<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.13592%;top:0;width:9.95146%;height:6.6343%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-db7da9d6-02d7-4935-84f9-a49f57db8b1c\">\n<div style=\"position:absolute;width:100%;height:100.0001%;left:0%;top:-0.00005%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png\" alt=\"Aakash Icon Blue PNG\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG.png 96w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/Aakash-Icon-Blue-PNG-75x75.png 75w\" sizes=\"(min-width: 1024px) 4vh, 10vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.40777%;top:61.32686%;width:77.18447%;height:9.38511%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.628930817610063% 0.628930817610063% 0.628930817610063% 0.628930817610063% \/ 3.4482758620689653% 3.4482758620689653% 3.4482758620689653% 3.4482758620689653%\" id=\"el-0cacca4e-f82d-4f08-91f4-15928846dbe8\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.21698113207547212% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.372168em;line-height:1.3;text-align:left;padding:0;color:#000000\"><span><span style=\"font-weight: 700\">For every positive integer n, 7n\u22123n is divisible by 4.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.40777%;top:73.78641%;width:77.18447%;height:26.21359%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:6.289308176100629% 6.289308176100629% 6.289308176100629% 6.289308176100629% \/ 12.345679012345679% 12.345679012345679% 12.345679012345679% 12.345679012345679%\" class=\"mask\" id=\"el-6cd093d3-ea57-45cc-ad2f-8939e1107281\">\n<div class=\"fill\" style=\"background-color:#0c3a96;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:19.29612%;top:77.83172%;width:61.40777%;height:7.44337%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:11.857707509881422% 11.857707509881422% 11.857707509881422% 11.857707509881422% \/ 65.21739130434783% 65.21739130434783% 65.21739130434783% 65.21739130434783%\" class=\"mask\" id=\"el-8eab7bbe-ee2f-4a6b-ba9f-e445f591d799\">\n<div class=\"fill\" style=\"background-color:#00a0e3;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:25.24272%;top:79.93528%;width:48.54369%;height:3.55987%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1% 1% 1% 1% \/ 9.090909090909092% 9.090909090909092% 9.090909090909092% 9.090909090909092%\" id=\"el-397717bf-1103-4f58-84d6-28ef9657cfea\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.27000000000000046% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.291262em;line-height:1.3;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #edf6f6\">A. True<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:19.29612%;top:87.70227%;width:61.40777%;height:7.44337%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:11.857707509881422% 11.857707509881422% 11.857707509881422% 11.857707509881422% \/ 65.21739130434783% 65.21739130434783% 65.21739130434783% 65.21739130434783%\" class=\"mask\" id=\"el-ff3d7e90-fe96-4698-a069-fd063c38a107\">\n<div class=\"fill\" style=\"background-color:#00a0e3;will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:25.24272%;top:89.80583%;width:48.54369%;height:3.55987%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:1% 1% 1% 1% \/ 9.090909090909092% 9.090909090909092% 9.090909090909092% 9.090909090909092%\" id=\"el-6021bedf-ec70-47cb-8d7d-067cbb2d5334\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.27000000000000046% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.291262em;line-height:1.3;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #eaeef4\">B. Flase<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"7a44d3a6-515b-4774-8056-a801c3599ada\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #55cea6 0%, #b4898f 100%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-f947f341-6667-4c5a-9718-ac90fd6f8114\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:64.72492%;width:76.94175%;height:5.98706%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6309148264984227% 0.6309148264984227% 0.6309148264984227% 0.6309148264984227% \/ 5.405405405405405% 5.405405405405405% 5.405405405405405% 5.405405405405405%\" id=\"el-9e69ac6b-d4a7-4afe-b411-a763702ba83b\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.1419558359621449% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.485437em;line-height:1.27;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #2a2a2a\">Correct Answer<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:73.30097%;width:75%;height:4.04531%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 8% 8% 8% 8%\" id=\"el-2d0a26ab-f5c8-42d2-b6f6-7d838fe26e9b\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.09708737864077636% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.323625em;line-height:1.27;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; color: #2a2a2a\">A. True<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.13592%;top:83.81877%;width:75.97087%;height:3.39806%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6389776357827476% 0.6389776357827476% 0.6389776357827476% 0.6389776357827476% \/ 9.523809523809524% 9.523809523809524% 9.523809523809524% 9.523809523809524%\" id=\"el-1af72fde-3040-4aa2-86ed-3715375bf18b\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.08146964856230057% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.275081em;line-height:1.27;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">Move to next slide for explanation.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:21.84466%;top:13.43042%;width:56.31068%;height:37.54045%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-7cfa7a3d-99b0-4530-8948-6350f752dd5e\">\n<div style=\"position:absolute;width:100%;height:100.00001%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG.png\" alt=\"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG.png 600w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-300x300.png 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-150x150.png 150w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-96x96.png 96w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-75x75.png 75w\" sizes=\"(min-width: 1024px) 25vh, 56vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"a89833ac-5ced-4e3a-803c-b0ba497f91a4\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:#0b65b0\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-be864f6e-1740-4c9b-8fe7-5408e2149a6d\">\n<div style=\"position:absolute;width:100%;height:100%;left:0%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Aakash-anthe-3-2.jpg\" alt=\"Aakash anthe (3)\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Aakash-anthe-3-2.jpg 720w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Aakash-anthe-3-2-576x1024.jpg 576w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Aakash-anthe-3-2-169x300.jpg 169w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/Aakash-anthe-3-2-150x267.jpg 150w\" sizes=\"(min-width: 1024px) 45vh, 100vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\"><\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\"><a href=\"https:\/\/anthe.aakash.ac.in\/anthe?utm_source=seobanner&amp;utm_medium=3rd-webstory&amp;utm_campaign=anthe\" rel=\"\">Register Now<\/a><\/amp-story-page-outlink><\/amp-story-page><amp-story-page id=\"c223180e-8f00-4ed2-af45-13a58b622458\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #069b8b 0%, #d9b4bb 100%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-1d1f95f4-9a99-4523-9454-49708764b009\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:73.30097%;width:75%;height:6.6343%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 4.878048780487805% 4.878048780487805% 4.878048780487805% 4.878048780487805%\" id=\"el-2f7d5abc-ba4d-41b1-af29-62e3c88d258f\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.07766990291262144% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.258900em;line-height:1.27;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">Consider P(n):7n\u22123n is divisible by 4<\/span><br \/>\n<span style=\"color: #2a2a2a\">Now, P(1):71\u221231=4<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-46.1165%;top:-9.70874%;width:153.15534%;height:76.3754%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-96ad96a0-d064-45da-9aa1-d268c753c158\">\n<div style=\"position:absolute;width:100%;height:100.26484%;left:0%;top:-0.13242%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9.jpg\" alt=\"CBSE Class 10 Term 2 Maths Paper 2022: Check Detailed Exam Analysis\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9.jpg 1200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-1140x855.jpg 1140w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-1024x768.jpg 1024w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-768x576.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-750x563.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-300x225.jpg 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/05\/Blog-Image-9-150x113.jpg 150w\" sizes=\"(min-width: 1024px) 69vh, 153vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"54bfe139-dc5a-4399-abf2-54b7d0dcba35\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #069b8b 0%, #d9b4bb 100%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-954bd304-5b50-4d24-95c0-c321851283e0\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:73.30097%;width:75%;height:9.70874%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 3.3333333333333335% 3.3333333333333335% 3.3333333333333335% 3.3333333333333335%\" id=\"el-780761ed-8511-472f-aca9-cbdbbcebc01e\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.07766990291262144% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.258900em;line-height:1.27;text-align:center;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">Thus, it is true for n=1<\/span><br \/>\n<span style=\"color: #2a2a2a\">Let p(k) is true for n=K<\/span><br \/>\n<span style=\"color: #2a2a2a\">7k\u22123k is divisible by 4<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.70874%;width:153.15534%;height:76.3754%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-a6208b66-3867-4348-afd8-863ba6c6dbe7\">\n<div style=\"position:absolute;width:112.18094%;height:100%;left:-6.09047%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-scaled.jpg\" alt=\"pencil-calculator-mathematic-formula-exercise-test-paper-education-school (1)\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-scaled.jpg 2560w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-2048x1365.jpg 2048w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1536x1024.jpg 1536w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x800.jpg 1200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x760.jpg 1140w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1024x683.jpg 1024w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-768x512.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x500.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-300x200.jpg 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-150x100.jpg 150w\" sizes=\"(min-width: 1024px) 69vh, 153vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"8618f8ea-2712-4b54-91a2-1a0c22a36a3e\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #069b8b 0%, #d9b4bb 100%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-60dd2739-1ed3-4d9b-ad23-3ff3acd3a706\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:13.34951%;top:63.1068%;width:75%;height:3.23625%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 10% 10% 10% 10%\" id=\"el-74bca5ce-55de-4598-8e6e-a9787ded7c06\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.07766990291262144% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.258900em;line-height:1.27;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">Now, prove that P(k+1) is true.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:71.19741%;width:75%;height:9.87055%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 3.278688524590164% 3.278688524590164% 3.278688524590164% 3.278688524590164%\" id=\"el-f426a027-f407-4cb9-9278-c80588d9ca21\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.07766990291262144% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.258900em;line-height:1.27;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">7(k+1)\u22123(k+1)=7(k+1)\u22127.3k+7.3k\u22123(k+1)<\/span><br \/>\n<span style=\"color: #2a2a2a\">=7(7k\u22123k)+(7\u22123)3k=7(4d)+(7\u22123)3k<\/span><br \/>\n<span style=\"color: #2a2a2a\">=7(4d)+4.3k=4(7d+3k)<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.62136%;top:85.76052%;width:75%;height:6.6343%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6472491909385114% 0.6472491909385114% 0.6472491909385114% 0.6472491909385114% \/ 4.878048780487805% 4.878048780487805% 4.878048780487805% 4.878048780487805%\" id=\"el-f47bd1e5-b808-4cdd-8b67-131e9187944b\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:-0.07766990291262144% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.258900em;line-height:1.27;text-align:left;padding:0;color:#000000\"><span><span style=\"color: #2a2a2a\">Hence,&nbsp;P(n):7n\u22123n is divisible by 4 is true.<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:-0.97087%;top:-23.13916%;width:101.94175%;height:90.45307%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-325aef22-fae6-4ba8-af24-39f76a0f1fe2\">\n<div style=\"position:absolute;width:100%;height:100.13977%;left:0%;top:-0.06988%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-circle-parabola-math-1.jpg\" alt=\"cropped-circle-parabola-math-1.jpg\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-circle-parabola-math-1.jpg 640w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-circle-parabola-math-1-225x300.jpg 225w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/07\/cropped-circle-parabola-math-1-150x200.jpg 150w\" sizes=\"(min-width: 1024px) 46vh, 102vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><\/amp-story-page><amp-story-page id=\"ce6d66fa-3f24-4ae5-b60d-6a307f0daa19\" auto-advance-after=\"7s\"><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\" style=\"background-color:white;background-image:linear-gradient(0turn, #069b8b 0%, #d9b4bb 100%)\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:0;top:-9.25926%;width:100%;height:118.51852%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-8847b9fd-730e-4181-8b18-7f57e8da6ad1\">\n<div class=\"fill\" style=\"will-change:transform\"><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-grid-layer template=\"vertical\" aspect-ratio=\"412:618\" class=\"grid-layer\"><\/p>\n<div class=\"page-fullbleed-area\">\n<div class=\"page-safe-area\">\n<div style=\"position:absolute;pointer-events:none;left:10.67961%;top:10.03236%;width:78.8835%;height:6.95793%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6153846153846154% 0.6153846153846154% 0.6153846153846154% 0.6153846153846154% \/ 4.651162790697675% 4.651162790697675% 4.651162790697675% 4.651162790697675%\" id=\"el-f30a19dc-d807-4d35-aa0e-1bfe9e04cda0\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:1.023076923076923% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.566343em;line-height:1.05;text-align:center;padding:0;color:#000000\"><span><span style=\"font-weight: 700; text-transform: uppercase\">Read More<\/span><\/span><\/p>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:12.74272%;top:23.78641%;width:74.51456%;height:37.21683%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0\" class=\"mask\" id=\"el-48ec039a-2e14-40f2-9feb-b159cd34b1ab\">\n<div style=\"position:absolute;width:112.35591%;height:100%;left:-6.17796%;top:0%\" data-leaf-element=\"true\"><amp-img layout=\"fill\" src=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-scaled.jpg\" alt=\"Young asian teacher man teaching video conference with student.\" srcSet=\"https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-scaled.jpg 2560w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-2048x1365.jpg 2048w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1536x1024.jpg 1536w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1200x800.jpg 1200w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1140x760.jpg 1140w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1024x683.jpg 1024w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-768x512.jpg 768w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-750x500.jpg 750w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-300x200.jpg 300w,https:\/\/d20x1nptavktw0.cloudfront.net\/wordpress_media\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-150x100.jpg 150w\" sizes=\"(min-width: 1024px) 34vh, 75vw\" disable-inline-width=\"true\"><\/amp-img><\/div>\n<\/div>\n<\/div>\n<div style=\"position:absolute;pointer-events:none;left:11.65049%;top:65.85761%;width:76.69903%;height:18.77023%;opacity:1\">\n<div style=\"pointer-events:initial;width:100%;height:100%;display:block;position:absolute;top:0;left:0;z-index:0;border-radius:0.6329113924050633% 0.6329113924050633% 0.6329113924050633% 0.6329113924050633% \/ 1.7241379310344827% 1.7241379310344827% 1.7241379310344827% 1.7241379310344827%\" id=\"el-9b670027-0c8a-4adb-9dab-76eb229c6f9a\">\n<p class=\"fill text-wrapper\" style=\"white-space:pre-wrap;overflow-wrap:break-word;word-break:break-word;margin:0.1518987341772153% 0;font-family:&quot;Libre Baskerville&quot;,serif;font-size:0.388350em;line-height:1.2;text-align:center;padding:0;color:#000000\"><span>What is an Integer &#8211; Definition, Meaning, Addition, Subtraction and Application<\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><\/amp-story-grid-layer><amp-story-page-outlink layout=\"nodisplay\" theme=\"dark\"><a href=\"https:\/\/www.aakash.ac.in\/important-concepts\/maths\/integers\" rel=\"\">Click Here<\/a><\/amp-story-page-outlink><\/amp-story-page><\/amp-story><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For every positive integer n, 7n\u22123n is divisible by 4. Find out whether above statement is true or false.<\/p>\n","protected":false},"author":1,"featured_media":234593,"template":"","meta":{"web_stories_publisher_logo":224678,"web_stories_poster":[],"web_stories_products":[],"footnotes":""},"web_story_category":[],"web_story_tag":[],"class_list":["post-234570","web-story","type-web-story","status-publish","has-post-thumbnail","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Prove that every positive integer n, 7n\u22123n is divisible by 4<\/title>\n<meta name=\"description\" content=\"Prove that 7n-3n is Divisible by 4: Using the principle of mathematical induction, prove that ` (7^(n)-3^(n))` is divisible by (for all ` n in N), here&#039;s how to check on aakash\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Prove that every positive integer n, 7n\u22123n is divisible by 4\" \/>\n<meta property=\"og:description\" content=\"Prove that 7n-3n is Divisible by 4: Using the principle of mathematical induction, prove that ` (7^(n)-3^(n))` is divisible by (for all ` n in N), here&#039;s how to check on aakash\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/\" \/>\n<meta property=\"og:site_name\" content=\"Aakash Blog\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/aakasheducation\" \/>\n<meta property=\"article:modified_time\" content=\"2022-09-22T06:36:37+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"640\" \/>\n\t<meta property=\"og:image:height\" content=\"853\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@AESL_Official\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"How to Prove that every positive integer n, 7n\u22123n is divisible by 4","description":"Prove that 7n-3n is Divisible by 4: Using the principle of mathematical induction, prove that ` (7^(n)-3^(n))` is divisible by (for all ` n in N), here's how to check on aakash","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/","og_locale":"en_US","og_type":"article","og_title":"How to Prove that every positive integer n, 7n\u22123n is divisible by 4","og_description":"Prove that 7n-3n is Divisible by 4: Using the principle of mathematical induction, prove that ` (7^(n)-3^(n))` is divisible by (for all ` n in N), here's how to check on aakash","og_url":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/","og_site_name":"Aakash Blog","article_publisher":"https:\/\/www.facebook.com\/aakasheducation","article_modified_time":"2022-09-22T06:36:37+00:00","og_image":[{"width":640,"height":853,"url":"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@AESL_Official","twitter_misc":{"Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/","url":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/","name":"How to Prove that every positive integer n, 7n\u22123n is divisible by 4","isPartOf":{"@id":"https:\/\/www.aakash.ac.in\/blog\/#website"},"primaryImageOfPage":{"@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/#primaryimage"},"image":{"@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/#primaryimage"},"thumbnailUrl":"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg","datePublished":"2022-09-21T09:15:00+00:00","dateModified":"2022-09-22T06:36:37+00:00","description":"Prove that 7n-3n is Divisible by 4: Using the principle of mathematical induction, prove that ` (7^(n)-3^(n))` is divisible by (for all ` n in N), here's how to check on aakash","breadcrumb":{"@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/#primaryimage","url":"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg","contentUrl":"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg","width":640,"height":853,"caption":"cropped-5890110_1737-scaled-1.jpg"},{"@type":"BreadcrumbList","@id":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/for-every-positive-integer-n-7-n-3-n-is-divisible-by-4\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/www.aakash.ac.in\/blog\/"},{"@type":"ListItem","position":2,"name":"Stories","item":"https:\/\/www.aakash.ac.in\/blog\/web-stories\/"},{"@type":"ListItem","position":3,"name":"For every positive integer n, 7 n \u22123 n is divisible by 4."}]},{"@type":"WebSite","@id":"https:\/\/www.aakash.ac.in\/blog\/#website","url":"https:\/\/www.aakash.ac.in\/blog\/","name":"Aakash Blog","description":"Medical, IIT-JEE &amp; Foundations","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.aakash.ac.in\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/www.aakash.ac.in\/blog\/#\/schema\/person\/cf47f7cea4939aa1d6f7066a7d62eff9","name":"Team @Aakash","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.aakash.ac.in\/blog\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/8e3389fb55661953db09dd08e8c113cb006c80494aef17a284c4a0a00976005f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/8e3389fb55661953db09dd08e8c113cb006c80494aef17a284c4a0a00976005f?s=96&d=mm&r=g","caption":"Team @Aakash"},"sameAs":["https:\/\/x.com\/aksblog"],"url":"https:\/\/www.aakash.ac.in\/blog\/author\/aksblog\/"}]}},"story_data":{"version":39,"pages":[{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"type":"shape","id":"601b3b63-8f58-44a9-8dfd-d9dbd5c7241f"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#64824c","blurHash":"UfP?%Fs:x^IoJ7t6n$M{?wR%adxa=zWCozxa","type":"image","mimeType":"image\/jpeg","creationDate":"2022-09-21T08:56:22.000Z","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-scaled.jpg","width":2560,"height":1749,"id":234584,"alt":"People getting answers for troubling questions","sizes":{"medium":{"file":"5890110_1737-300x205.jpg","width":300,"height":205,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-300x205.jpg"},"large":{"file":"5890110_1737-1024x700.jpg","width":1024,"height":700,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1024x700.jpg"},"thumbnail":{"file":"5890110_1737-150x150.jpg","width":150,"height":150,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-150x150.jpg"},"medium_large":{"file":"5890110_1737-768x525.jpg","width":768,"height":525,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-768x525.jpg"},"1536x1536":{"file":"5890110_1737-1536x1049.jpg","width":1536,"height":1049,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1536x1049.jpg"},"2048x2048":{"file":"5890110_1737-2048x1399.jpg","width":2048,"height":1399,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-2048x1399.jpg"},"web-stories-poster-portrait":{"file":"5890110_1737-640x853.jpg","width":640,"height":853,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-640x853.jpg"},"web-stories-publisher-logo":{"file":"5890110_1737-96x96.jpg","width":96,"height":96,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-96x96.jpg"},"web-stories-thumbnail":{"file":"5890110_1737-150x102.jpg","width":150,"height":102,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-150x102.jpg"},"jnews-360x180":{"file":"5890110_1737-360x180.jpg","width":360,"height":180,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-360x180.jpg"},"jnews-750x375":{"file":"5890110_1737-750x375.jpg","width":750,"height":375,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-750x375.jpg"},"jnews-1140x570":{"file":"5890110_1737-1140x570.jpg","width":1140,"height":570,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1140x570.jpg"},"jnews-1200x600":{"file":"5890110_1737-1200x600.jpg","width":1200,"height":600,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1200x600.jpg"},"jnews-120x86":{"file":"5890110_1737-120x86.jpg","width":120,"height":86,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-120x86.jpg"},"jnews-350x250":{"file":"5890110_1737-350x250.jpg","width":350,"height":250,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-350x250.jpg"},"jnews-750x536":{"file":"5890110_1737-750x536.jpg","width":750,"height":536,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-750x536.jpg"},"jnews-1140x815":{"file":"5890110_1737-1140x815.jpg","width":1140,"height":815,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1140x815.jpg"},"jnews-1200x900":{"file":"5890110_1737-1200x900.jpg","width":1200,"height":900,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1200x900.jpg"},"jnews-360x504":{"file":"5890110_1737-360x504.jpg","width":360,"height":504,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-360x504.jpg"},"jnews-75x75":{"file":"5890110_1737-75x75.jpg","width":75,"height":75,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-75x75.jpg"},"jnews-featured-750":{"file":"5890110_1737-750x512.jpg","width":750,"height":512,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-750x512.jpg"},"jnews-featured-1140":{"file":"5890110_1737-1140x779.jpg","width":1140,"height":779,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1140x779.jpg"},"jnews-featured-1200":{"file":"5890110_1737-1200x820.jpg","width":1200,"height":820,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-1200x820.jpg"},"full":{"file":"5890110_1737-scaled.jpg","width":2560,"height":1749,"mime_type":"image\/jpeg","source_url":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/5890110_1737-scaled.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":-65.5,"y":-61,"width":540,"height":392,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"id":"0f93ad59-bed6-4b5e-93e2-1c73879a69e2"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Montserrat","service":"fonts.google.com","fallbacks":["sans-serif"],"weights":[100,200,300,400,500,600,700,800,900],"styles":["italic","regular"],"variants":[[0,100],[0,200],[0,300],[0,400],[0,500],[0,600],[0,700],[0,800],[0,900],[1,100],[1,200],[1,300],[1,400],[1,500],[1,600],[1,700],[1,800],[1,900]],"metrics":{"upm":1000,"asc":968,"des":-251,"tAsc":968,"tDes":-251,"tLGap":0,"wAsc":1109,"wDes":270,"xH":525,"capH":700,"yMin":-262,"yMax":1043,"hAsc":968,"hDes":-251,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.5,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"type":"text","content":"<span style=\"letter-spacing: 0.01em\">By Team Aakash BYJU'S<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":51,"y":310,"width":310,"height":20,"scale":100,"focalX":50,"focalY":50,"marginOffset":6.462999999999997,"basedOn":"84a98cb9-3a36-4fbe-b7e7-2f77f58c9fab","id":"f40a234f-8e89-4132-9821-1494c90ab128"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#cdebf8","blurHash":"UFApFSoz00W=W?fQNHaz00ay|,jY={jtn$oL","type":"image","mimeType":"image\/png","creationDate":"2022-08-02T06:04:58","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/Aakash-Icon-Blue-PNG.png","width":96,"height":96,"id":224645,"alt":"Aakash Icon Blue PNG","sizes":{"jnews-120x86":{"file":"Aakash-Icon-Blue-PNG-96x86.png","width":96,"height":86,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/Aakash-Icon-Blue-PNG-96x86.png"},"jnews-75x75":{"file":"Aakash-Icon-Blue-PNG-75x75.png","width":75,"height":75,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/Aakash-Icon-Blue-PNG-75x75.png"},"full":{"file":"Aakash-Icon-Blue-PNG.png","width":96,"height":96,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/Aakash-Icon-Blue-PNG.png"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":50,"y":0,"width":41,"height":41,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"basedOn":"7014290c-e512-4b33-8dfe-2cbd88fe708d","id":"db7da9d6-02d7-4935-84f9-a49f57db8b1c"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":23,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.3,"textAlign":"left","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"font-weight: 700\">For every positive integer n, 7n\u22123n is divisible by 4.<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":47,"y":379,"width":318,"height":58,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"f49b29d0-500d-4f50-b6b9-6ad1beabf488","marginOffset":1.3800000000000026,"id":"0cacca4e-f82d-4f08-91f4-15928846dbe8"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"backgroundColor":{"color":{"r":12,"g":58,"b":150}},"type":"shape","x":47,"y":456,"width":318,"height":162,"scale":100,"focalX":50,"focalY":50,"mask":{"type":"rectangle"},"id":"6cd093d3-ea57-45cc-ad2f-8939e1107281","borderRadius":{"topLeft":20,"topRight":20,"bottomRight":20,"bottomLeft":20,"locked":true}},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"backgroundColor":{"color":{"r":0,"g":160,"b":227,"a":1}},"type":"shape","x":79.5,"y":481,"width":253,"height":46,"scale":100,"focalX":50,"focalY":50,"mask":{"type":"rectangle"},"id":"8eab7bbe-ee2f-4a6b-ba9f-e445f591d799","borderRadius":{"topLeft":30,"topRight":30,"bottomRight":30,"bottomLeft":30,"locked":true}},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":18,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.3,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #edf6f6\">A. True<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":104,"y":494,"width":200,"height":22,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"edc6ee21-54e0-4540-84b7-45bc7aa3dec0","id":"397717bf-1103-4f58-84d6-28ef9657cfea","marginOffset":1.3200000000000003},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"backgroundColor":{"color":{"r":0,"g":160,"b":227,"a":1}},"type":"shape","x":79.5,"y":542,"width":253,"height":46,"scale":100,"focalX":50,"focalY":50,"mask":{"type":"rectangle"},"borderRadius":{"topLeft":30,"topRight":30,"bottomRight":30,"bottomLeft":30,"locked":true},"basedOn":"8eab7bbe-ee2f-4a6b-ba9f-e445f591d799","id":"ff3d7e90-fe96-4698-a069-fd063c38a107"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":18,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.3,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #eaeef4\">B. Flase<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":104,"y":555,"width":200,"height":22,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"397717bf-1103-4f58-84d6-28ef9657cfea","marginOffset":1.3200000000000003,"id":"6021bedf-ec70-47cb-8d7d-067cbb2d5334"}],"backgroundColor":{"type":"linear","stops":[{"color":{"r":0,"g":160,"b":227},"position":0},{"color":{"r":255,"g":255,"b":255},"position":0.33}],"rotation":0.5},"type":"page","id":"5324cff1-e27f-4a44-b730-dc2896d0dbd2","animations":[]},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"type":"shape","id":"f947f341-6667-4c5a-9718-ac90fd6f8114"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":30,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"font-weight: 700; color: #2a2a2a\">Correct Answer<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":48,"y":400,"width":317,"height":37,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"d2c10282-a056-4755-a4ed-d3f61b98f6e5","id":"9e69ac6b-d4a7-4afe-b411-a763702ba83b","marginOffset":0.9600000000000009},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":20,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"font-weight: 700; color: #2a2a2a\">A. True<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":52,"y":453,"width":309,"height":25,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"9e69ac6b-d4a7-4afe-b411-a763702ba83b","id":"2d0a26ab-f5c8-42d2-b6f6-7d838fe26e9b","marginOffset":0.75},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":17,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">Move to next slide for explanation.<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":50,"y":518,"width":313,"height":21,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"9e69ac6b-d4a7-4afe-b411-a763702ba83b","id":"1af72fde-3040-4aa2-86ed-3715375bf18b","marginOffset":0.75},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#6fcb50","blurHash":"UNQJ=Wxb^nNFS0s;WUR%}_ayI-ofxbR%a{s;","type":"image","mimeType":"image\/png","creationDate":"2022-09-21T08:21:37","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG.png","width":600,"height":600,"id":234550,"alt":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG","sizes":{"medium":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-300x300.png","width":300,"height":300,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-300x300.png"},"thumbnail":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-150x150.png","width":150,"height":150,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-150x150.png"},"web-stories-publisher-logo":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-96x96.png","width":96,"height":96,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-96x96.png"},"web-stories-thumbnail":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-150x150.png","width":150,"height":150,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-150x150.png"},"jnews-360x180":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-360x180.png","width":360,"height":180,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-360x180.png"},"jnews-750x375":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x375.png","width":600,"height":375,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x375.png"},"jnews-1140x570":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x570.png","width":600,"height":570,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x570.png"},"jnews-120x86":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-120x86.png","width":120,"height":86,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-120x86.png"},"jnews-350x250":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-350x250.png","width":350,"height":250,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-350x250.png"},"jnews-750x536":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x536.png","width":600,"height":536,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-600x536.png"},"jnews-360x504":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-360x504.png","width":360,"height":504,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-360x504.png"},"jnews-75x75":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-75x75.png","width":75,"height":75,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG-75x75.png"},"full":{"file":"Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG.png","width":600,"height":600,"mimeType":"image\/png","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Right-Correct-check-in-Green-Icon-Sign-on-transparent-background-PNG.png"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":90,"y":83,"width":232,"height":232,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"id":"7cfa7a3d-99b0-4530-8948-6350f752dd5e"}],"backgroundColor":{"type":"linear","stops":[{"color":{"r":85,"g":206,"b":166},"position":0},{"color":{"r":180,"g":137,"b":143},"position":1}],"rotation":0.5},"type":"page","id":"7a44d3a6-515b-4774-8056-a801c3599ada","animations":[]},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":-99,"y":-19,"width":274,"height":489,"mask":{"type":"rectangle"},"isBackground":true,"type":"image","id":"be864f6e-1740-4c9b-8fe7-5408e2149a6d","scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#0b65b0","blurHash":"U7FjQ+aI01ROICfkM|WX00g5-;tS~ojYoMob","type":"image","mimeType":"image\/jpeg","creationDate":"2022-09-14T03:10:59","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2.jpg","width":720,"height":1280,"id":233306,"alt":"Aakash anthe (3)","sizes":{"medium":{"file":"Aakash-anthe-3-2-169x300.jpg","width":169,"height":300,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-169x300.jpg"},"large":{"file":"Aakash-anthe-3-2-576x1024.jpg","width":576,"height":1024,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-576x1024.jpg"},"thumbnail":{"file":"Aakash-anthe-3-2-150x150.jpg","width":150,"height":150,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-150x150.jpg"},"web-stories-poster-portrait":{"file":"Aakash-anthe-3-2-640x853.jpg","width":640,"height":853,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-640x853.jpg"},"web-stories-publisher-logo":{"file":"Aakash-anthe-3-2-96x96.jpg","width":96,"height":96,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-96x96.jpg"},"web-stories-thumbnail":{"file":"Aakash-anthe-3-2-150x267.jpg","width":150,"height":267,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-150x267.jpg"},"jnews-360x180":{"file":"Aakash-anthe-3-2-360x180.jpg","width":360,"height":180,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-360x180.jpg"},"jnews-750x375":{"file":"Aakash-anthe-3-2-720x375.jpg","width":720,"height":375,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x375.jpg"},"jnews-1140x570":{"file":"Aakash-anthe-3-2-720x570.jpg","width":720,"height":570,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x570.jpg"},"jnews-1200x600":{"file":"Aakash-anthe-3-2-720x600.jpg","width":720,"height":600,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x600.jpg"},"jnews-120x86":{"file":"Aakash-anthe-3-2-120x86.jpg","width":120,"height":86,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-120x86.jpg"},"jnews-350x250":{"file":"Aakash-anthe-3-2-350x250.jpg","width":350,"height":250,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-350x250.jpg"},"jnews-750x536":{"file":"Aakash-anthe-3-2-720x536.jpg","width":720,"height":536,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x536.jpg"},"jnews-1140x815":{"file":"Aakash-anthe-3-2-720x815.jpg","width":720,"height":815,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x815.jpg"},"jnews-1200x900":{"file":"Aakash-anthe-3-2-720x900.jpg","width":720,"height":900,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-720x900.jpg"},"jnews-360x504":{"file":"Aakash-anthe-3-2-360x504.jpg","width":360,"height":504,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-360x504.jpg"},"jnews-75x75":{"file":"Aakash-anthe-3-2-75x75.jpg","width":75,"height":75,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2-75x75.jpg"},"full":{"file":"Aakash-anthe-3-2.jpg","width":720,"height":1280,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/Aakash-anthe-3-2.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false}}],"backgroundColor":{"color":{"r":255,"g":255,"b":255}},"type":"page","id":"a89833ac-5ced-4e3a-803c-b0ba497f91a4","defaultBackgroundElement":{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"type":"shape","id":"88a1dfb7-dc22-4eb4-8b40-bbb301c84c52"},"animations":[],"pageAttachment":{"url":"https:\/\/anthe.aakash.ac.in\/anthe?utm_source=seobanner&utm_medium=3rd-webstory&utm_campaign=anthe","icon":"","needsProxy":false,"ctaText":"Register Now"}},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"id":"1d1f95f4-9a99-4523-9454-49708764b009","type":"shape"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"left","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">Consider P(n):7n\u22123n is divisible by 4<\/span>\n<span style=\"color: #2a2a2a\">Now, P(1):71\u221231=4<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":52,"y":453,"width":309,"height":41,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"2d0a26ab-f5c8-42d2-b6f6-7d838fe26e9b","marginOffset":0.75,"id":"2f7d5abc-ba4d-41b1-af29-62e3c88d258f"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#191715","blurHash":"U097U{-;004._N%MRO4n4;?baJM{Rjxu-pD%","type":"image","mimeType":"image\/jpeg","creationDate":"2022-09-05T19:22:35","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9.jpg","width":1200,"height":900,"id":231586,"alt":"CBSE Class 10 Term 2 Maths Paper 2022: Check Detailed Exam Analysis","sizes":{"medium":{"file":"Blog-Image-9-300x225.jpg","width":300,"height":225,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-300x225.jpg"},"large":{"file":"Blog-Image-9-1024x768.jpg","width":1024,"height":768,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-1024x768.jpg"},"thumbnail":{"file":"Blog-Image-9-150x150.jpg","width":150,"height":150,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-150x150.jpg"},"medium_large":{"file":"Blog-Image-9-768x576.jpg","width":768,"height":576,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-768x576.jpg"},"web-stories-poster-portrait":{"file":"Blog-Image-9-640x853.jpg","width":640,"height":853,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-640x853.jpg"},"web-stories-publisher-logo":{"file":"Blog-Image-9-96x96.jpg","width":96,"height":96,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-96x96.jpg"},"web-stories-thumbnail":{"file":"Blog-Image-9-150x113.jpg","width":150,"height":113,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-150x113.jpg"},"jnews-360x180":{"file":"Blog-Image-9-360x180.jpg","width":360,"height":180,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-360x180.jpg"},"jnews-750x375":{"file":"Blog-Image-9-750x375.jpg","width":750,"height":375,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-750x375.jpg"},"jnews-1140x570":{"file":"Blog-Image-9-1140x570.jpg","width":1140,"height":570,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-1140x570.jpg"},"jnews-1200x600":{"file":"Blog-Image-9-1200x600.jpg","width":1200,"height":600,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-1200x600.jpg"},"jnews-120x86":{"file":"Blog-Image-9-120x86.jpg","width":120,"height":86,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-120x86.jpg"},"jnews-350x250":{"file":"Blog-Image-9-350x250.jpg","width":350,"height":250,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-350x250.jpg"},"jnews-750x536":{"file":"Blog-Image-9-750x536.jpg","width":750,"height":536,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-750x536.jpg"},"jnews-1140x815":{"file":"Blog-Image-9-1140x815.jpg","width":1140,"height":815,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-1140x815.jpg"},"jnews-360x504":{"file":"Blog-Image-9-360x504.jpg","width":360,"height":504,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-360x504.jpg"},"jnews-75x75":{"file":"Blog-Image-9-75x75.jpg","width":75,"height":75,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-75x75.jpg"},"jnews-featured-750":{"file":"Blog-Image-9-750x563.jpg","width":750,"height":563,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-750x563.jpg"},"jnews-featured-1140":{"file":"Blog-Image-9-1140x855.jpg","width":1140,"height":855,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9-1140x855.jpg"},"full":{"file":"Blog-Image-9.jpg","width":1200,"height":900,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/05\/Blog-Image-9.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":-190,"y":-60,"width":631,"height":472,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"id":"96ad96a0-d064-45da-9aa1-d268c753c158"}],"animations":[],"backgroundColor":{"type":"linear","stops":[{"color":{"r":6,"g":155,"b":139},"position":0},{"color":{"r":217,"g":180,"b":187},"position":1}],"rotation":0.5},"type":"page","id":"c223180e-8f00-4ed2-af45-13a58b622458","pageTemplateType":""},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"id":"954bd304-5b50-4d24-95c0-c321851283e0","type":"shape","basedOn":"1d1f95f4-9a99-4523-9454-49708764b009"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"center","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">Thus, it is true for n=1<\/span>\n<span style=\"color: #2a2a2a\">Let p(k) is true for n=K<\/span>\n<span style=\"color: #2a2a2a\">7k\u22123k is divisible by 4<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":52,"y":453,"width":309,"height":60,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"2f7d5abc-ba4d-41b1-af29-62e3c88d258f","marginOffset":0.75,"id":"780761ed-8511-472f-aca9-cbdbbcebc01e"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#e2dfe1","blurHash":"UgNd2a_4x^M_XmnhaKozkDWVozjEV?Rkozxu","type":"image","mimeType":"image\/jpeg","creationDate":"2022-08-30T08:57:59","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-scaled.jpg","width":2560,"height":1707,"id":230358,"alt":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school (1)","sizes":{"medium":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-300x200.jpg","width":300,"height":200,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-300x200.jpg"},"large":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1024x683.jpg","width":1024,"height":683,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1024x683.jpg"},"thumbnail":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-150x150.jpg","width":150,"height":150,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-150x150.jpg"},"medium_large":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-768x512.jpg","width":768,"height":512,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-768x512.jpg"},"1536x1536":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1536x1024.jpg","width":1536,"height":1024,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1536x1024.jpg"},"2048x2048":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-2048x1365.jpg","width":2048,"height":1365,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-2048x1365.jpg"},"web-stories-poster-portrait":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-640x853.jpg","width":640,"height":853,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-640x853.jpg"},"web-stories-publisher-logo":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-96x96.jpg","width":96,"height":96,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-96x96.jpg"},"web-stories-thumbnail":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-150x100.jpg","width":150,"height":100,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-150x100.jpg"},"jnews-360x180":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-360x180.jpg","width":360,"height":180,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-360x180.jpg"},"jnews-750x375":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x375.jpg","width":750,"height":375,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x375.jpg"},"jnews-1140x570":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x570.jpg","width":1140,"height":570,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x570.jpg"},"jnews-1200x600":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x600.jpg","width":1200,"height":600,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x600.jpg"},"jnews-120x86":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-120x86.jpg","width":120,"height":86,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-120x86.jpg"},"jnews-350x250":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-350x250.jpg","width":350,"height":250,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-350x250.jpg"},"jnews-750x536":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x536.jpg","width":750,"height":536,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x536.jpg"},"jnews-1140x815":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x815.jpg","width":1140,"height":815,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x815.jpg"},"jnews-1200x900":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x900.jpg","width":1200,"height":900,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x900.jpg"},"jnews-360x504":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-360x504.jpg","width":360,"height":504,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-360x504.jpg"},"jnews-75x75":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-75x75.jpg","width":75,"height":75,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-75x75.jpg"},"jnews-featured-750":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x500.jpg","width":750,"height":500,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-750x500.jpg"},"jnews-featured-1140":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x760.jpg","width":1140,"height":760,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1140x760.jpg"},"jnews-featured-1200":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x800.jpg","width":1200,"height":800,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-1200x800.jpg"},"full":{"file":"pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-scaled.jpg","width":2560,"height":1707,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/08\/pencil-calculator-mathematic-formula-exercise-test-paper-education-school-1-scaled.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":0,"y":-60,"width":631,"height":472,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"basedOn":"96ad96a0-d064-45da-9aa1-d268c753c158","id":"a6208b66-3867-4348-afd8-863ba6c6dbe7"}],"animations":[],"backgroundColor":{"type":"linear","stops":[{"color":{"r":6,"g":155,"b":139},"position":0},{"color":{"r":217,"g":180,"b":187},"position":1}],"rotation":0.5},"type":"page","id":"54bfe139-dc5a-4399-abf2-54b7d0dcba35","pageTemplateType":""},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"id":"60dd2739-1ed3-4d9b-ad23-3ff3acd3a706","type":"shape","basedOn":"954bd304-5b50-4d24-95c0-c321851283e0"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"left","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">Now, prove that P(k+1) is true.<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":55,"y":390,"width":309,"height":20,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"780761ed-8511-472f-aca9-cbdbbcebc01e","marginOffset":0.75,"id":"74bca5ce-55de-4598-8e6e-a9787ded7c06"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"left","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">7(k+1)\u22123(k+1)=7(k+1)\u22127.3k+7.3k\u22123(k+1)<\/span>\n<span style=\"color: #2a2a2a\">=7(7k\u22123k)+(7\u22123)3k=7(4d)+(7\u22123)3k<\/span>\n<span style=\"color: #2a2a2a\">=7(4d)+4.3k=4(7d+3k)<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":52,"y":440,"width":309,"height":61,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"74bca5ce-55de-4598-8e6e-a9787ded7c06","marginOffset":0.75,"id":"f426a027-f407-4cb9-9278-c80588d9ca21"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","service":"fonts.google.com","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[0,700],[1,400]],"metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0}},"fontSize":16,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.27,"textAlign":"left","padding":{"locked":true,"horizontal":0,"vertical":0},"content":"<span style=\"color: #2a2a2a\">Hence,&nbsp;P(n):7n\u22123n is divisible by 4 is true.<\/span>","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":52,"y":530,"width":309,"height":41,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"74bca5ce-55de-4598-8e6e-a9787ded7c06","marginOffset":0.75,"id":"f47bd1e5-b808-4cdd-8b67-131e9187944b"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#f1efed","blurHash":"UPS6DFoyyCWVtRWnjFkC?^jbV[f8V@n,Sgad","type":"image","mimeType":"image\/jpeg","creationDate":"2022-07-27T05:46:31","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1.jpg","width":640,"height":853,"id":223646,"alt":"cropped-circle-parabola-math-1.jpg","sizes":{"medium":{"file":"cropped-circle-parabola-math-1-225x300.jpg","width":225,"height":300,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-225x300.jpg"},"thumbnail":{"file":"cropped-circle-parabola-math-1-150x150.jpg","width":150,"height":150,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-150x150.jpg"},"web-stories-publisher-logo":{"file":"cropped-circle-parabola-math-1-96x96.jpg","width":96,"height":96,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-96x96.jpg"},"web-stories-thumbnail":{"file":"cropped-circle-parabola-math-1-150x200.jpg","width":150,"height":200,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-150x200.jpg"},"jnews-360x180":{"file":"cropped-circle-parabola-math-1-360x180.jpg","width":360,"height":180,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-360x180.jpg"},"jnews-750x375":{"file":"cropped-circle-parabola-math-1-640x375.jpg","width":640,"height":375,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-640x375.jpg"},"jnews-1140x570":{"file":"cropped-circle-parabola-math-1-640x570.jpg","width":640,"height":570,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-640x570.jpg"},"jnews-1200x600":{"file":"cropped-circle-parabola-math-1-640x600.jpg","width":640,"height":600,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-640x600.jpg"},"jnews-120x86":{"file":"cropped-circle-parabola-math-1-120x86.jpg","width":120,"height":86,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-120x86.jpg"},"jnews-350x250":{"file":"cropped-circle-parabola-math-1-350x250.jpg","width":350,"height":250,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-350x250.jpg"},"jnews-750x536":{"file":"cropped-circle-parabola-math-1-640x536.jpg","width":640,"height":536,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-640x536.jpg"},"jnews-1140x815":{"file":"cropped-circle-parabola-math-1-640x815.jpg","width":640,"height":815,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-640x815.jpg"},"jnews-360x504":{"file":"cropped-circle-parabola-math-1-360x504.jpg","width":360,"height":504,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-360x504.jpg"},"jnews-75x75":{"file":"cropped-circle-parabola-math-1-75x75.jpg","width":75,"height":75,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1-75x75.jpg"},"full":{"file":"cropped-circle-parabola-math-1.jpg","width":640,"height":853,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/07\/cropped-circle-parabola-math-1.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":-4,"y":-143,"width":420,"height":559,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"id":"325aef22-fae6-4ba8-af24-39f76a0f1fe2"}],"animations":[],"backgroundColor":{"type":"linear","stops":[{"color":{"r":6,"g":155,"b":139},"position":0},{"color":{"r":217,"g":180,"b":187},"position":1}],"rotation":0.5},"type":"page","id":"8618f8ea-2712-4b54-91a2-1a0c22a36a3e","pageTemplateType":""},{"elements":[{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"type":"shape","id":"8847b9fd-730e-4181-8b18-7f57e8da6ad1"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[1,400],[0,700]],"service":"fonts.google.com","metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0},"id":"Libre Baskerville","name":"Libre Baskerville","value":"Libre Baskerville"},"fontSize":35,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.05,"textAlign":"center","padding":{"locked":true,"hasHiddenPadding":false,"horizontal":0,"vertical":0},"content":"<span style=\"font-weight: 700; text-transform: uppercase\">Read More<\/span>","fontWeight":700,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"width":325,"height":43,"scale":100,"focalX":50,"focalY":50,"type":"text","basedOn":"ecacbfe0-4372-4eba-b804-28c5e8e83b88","x":44,"y":62,"id":"f30a19dc-d807-4d35-aa0e-1bfe9e04cda0"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":false,"scale":100,"focalX":50,"focalY":50,"resource":{"baseColor":"#263c32","blurHash":"U58g~TE10|;}_LIp9u^QxtEME2?FNHt6aKNa","type":"image","mimeType":"image\/jpeg","creationDate":"2022-09-05T10:05:23","src":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-scaled.jpg","width":2560,"height":1707,"id":231486,"alt":"Young asian teacher man teaching video conference with student.","sizes":{"medium":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-300x200.jpg","width":300,"height":200,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-300x200.jpg"},"large":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1024x683.jpg","width":1024,"height":683,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1024x683.jpg"},"thumbnail":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-150x150.jpg","width":150,"height":150,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-150x150.jpg"},"medium_large":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-768x512.jpg","width":768,"height":512,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-768x512.jpg"},"1536x1536":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1536x1024.jpg","width":1536,"height":1024,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1536x1024.jpg"},"2048x2048":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-2048x1365.jpg","width":2048,"height":1365,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-2048x1365.jpg"},"web-stories-poster-portrait":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-640x853.jpg","width":640,"height":853,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-640x853.jpg"},"web-stories-publisher-logo":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-96x96.jpg","width":96,"height":96,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-96x96.jpg"},"web-stories-thumbnail":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-150x100.jpg","width":150,"height":100,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-150x100.jpg"},"jnews-360x180":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-360x180.jpg","width":360,"height":180,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-360x180.jpg"},"jnews-750x375":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-750x375.jpg","width":750,"height":375,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-750x375.jpg"},"jnews-1140x570":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1140x570.jpg","width":1140,"height":570,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1140x570.jpg"},"jnews-1200x600":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1200x600.jpg","width":1200,"height":600,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1200x600.jpg"},"jnews-120x86":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-120x86.jpg","width":120,"height":86,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-120x86.jpg"},"jnews-350x250":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-350x250.jpg","width":350,"height":250,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-350x250.jpg"},"jnews-750x536":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-750x536.jpg","width":750,"height":536,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-750x536.jpg"},"jnews-1140x815":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1140x815.jpg","width":1140,"height":815,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1140x815.jpg"},"jnews-1200x900":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1200x900.jpg","width":1200,"height":900,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1200x900.jpg"},"jnews-360x504":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-360x504.jpg","width":360,"height":504,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-360x504.jpg"},"jnews-75x75":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-75x75.jpg","width":75,"height":75,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-75x75.jpg"},"jnews-featured-750":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-750x500.jpg","width":750,"height":500,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-750x500.jpg"},"jnews-featured-1140":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1140x760.jpg","width":1140,"height":760,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1140x760.jpg"},"jnews-featured-1200":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-1200x800.jpg","width":1200,"height":800,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-1200x800.jpg"},"full":{"file":"young-asian-teacher-man-teaching-video-conference-with-student-scaled.jpg","width":2560,"height":1707,"mimeType":"image\/jpeg","sourceUrl":"https:\/\/www.aakash.ac.in\/blog\/wp-content\/uploads\/2022\/09\/young-asian-teacher-man-teaching-video-conference-with-student-scaled.jpg"}},"isPlaceholder":false,"isOptimized":false,"isMuted":false,"isExternal":false,"needsProxy":false},"type":"image","x":52.5,"y":147,"width":307,"height":230,"mask":{"type":"rectangle","showInLibrary":true,"name":"Rectangle","path":"M 0,0 1,0 1,1 0,1 0,0 Z","ratio":1,"supportsBorder":true},"id":"48ec039a-2e14-40f2-9feb-b159cd34b1ab"},{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"backgroundTextMode":"NONE","font":{"family":"Libre Baskerville","fallbacks":["serif"],"weights":[400,700],"styles":["regular","italic"],"variants":[[0,400],[1,400],[0,700]],"service":"fonts.google.com","metrics":{"upm":1000,"asc":970,"des":-270,"tAsc":970,"tDes":-270,"tLGap":0,"wAsc":970,"wDes":270,"xH":530,"capH":770,"yMin":-260,"yMax":970,"hAsc":970,"hDes":-270,"lGap":0},"id":"Libre Baskerville","name":"Libre Baskerville","value":"Libre Baskerville"},"fontSize":24,"backgroundColor":{"color":{"r":196,"g":196,"b":196}},"lineHeight":1.2,"textAlign":"center","padding":{"locked":true,"hasHiddenPadding":false,"horizontal":null,"vertical":null},"type":"text","content":"What is an Integer - Definition, Meaning, Addition, Subtraction and Application","fontWeight":400,"borderRadius":{"locked":true,"topLeft":2,"topRight":2,"bottomRight":2,"bottomLeft":2},"x":48,"y":407,"width":316,"height":116,"scale":100,"focalX":50,"focalY":50,"id":"9b670027-0c8a-4adb-9dab-76eb229c6f9a","marginOffset":10.14}],"backgroundColor":{"type":"linear","stops":[{"color":{"r":6,"g":155,"b":139},"position":0},{"color":{"r":217,"g":180,"b":187},"position":1}],"rotation":0.5},"type":"page","id":"ce6d66fa-3f24-4ae5-b60d-6a307f0daa19","defaultBackgroundElement":{"opacity":100,"flip":{"vertical":false,"horizontal":false},"rotationAngle":0,"lockAspectRatio":true,"x":1,"y":1,"width":1,"height":1,"mask":{"type":"rectangle"},"isBackground":true,"isDefaultBackground":true,"type":"shape","id":"8847b9fd-730e-4181-8b18-7f57e8da6ad1"},"animations":[],"pageAttachment":{"url":"https:\/\/www.aakash.ac.in\/important-concepts\/maths\/integers","icon":"","needsProxy":false,"ctaText":"Click Here","theme":"dark"}}],"autoAdvance":true,"defaultPageDuration":7,"currentStoryStyles":{"colors":[{"color":{"r":234,"g":238,"b":244}},{"color":{"r":77,"g":76,"b":72}},{"color":{"r":255,"g":220,"b":192}},{"color":{"r":251,"g":245,"b":241}}]}},"story_poster":{"id":234593,"url":"https:\/\/blogcdn.aakash.ac.in\/wordpress_media\/2022\/09\/cropped-5890110_1737-scaled-1.jpg","width":640,"height":853,"needsProxy":false},"_links":{"self":[{"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web-story\/234570","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web-story"}],"about":[{"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/wp\/v2\/types\/web-story"}],"author":[{"embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/users\/1"}],"version-history":[{"count":8,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web-story\/234570\/revisions"}],"predecessor-version":[{"id":234624,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web-story\/234570\/revisions\/234624"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/media\/234593"}],"wp:attachment":[{"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/media?parent=234570"}],"wp:term":[{"taxonomy":"web_story_category","embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web_story_category?post=234570"},{"taxonomy":"web_story_tag","embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web_story_tag?post=234570"}],"wp:lock":[{"embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/web-story\/234570\/lock"}],"wp:publisherlogo":[{"embeddable":true,"href":"https:\/\/www.aakash.ac.in\/blog\/wp-json\/web-stories\/v1\/media\/224678"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}