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NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progression

iacst-2022

In simple words, Arithmetic Progression (A.P.) can be described as a sequence of numbers where it exists in an order in which the difference between any of the two consecutive numbers would be constant. It is also called as Arithmetic Sequence. For instance, if 10, 20, 30, 40, 50 is a series of numbers, it can be said that it is an arithmetic progression in which the difference between every two successive terms is 10.

Firstly, the difference between two consecutive numbers needs to be identified using simple subtraction. The NCERT solutions for class 10 Maths Chapter 5 arithmetic progression includes problems on finding whether the given series of numbers are AP or not AP. The general form of AP is given below,

a, a + d, a + 2d, a + 3d,…

This is the general form of an arithmetic sequence and is usually used to identify if the series of numbers follow the common pattern. The given condition is AP if the numbers follow a common difference, and the given condition is not AP if the numbers do not follow a common difference.

Similarly, to calculate the nth term of AP, we need to use the formula which is given below,

an = a +(n-1) x d

It is not possible to evaluate each and every term of the arithmetic sequence to resolve these specific terms. Instead of doing this, we must establish an effective relationship that ensures us to find the nth value for any given value of n. So, that is the sole reason why this formula is developed in the first place.

 

 

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Also See
NCERT Solutions For Class 10 Maths Chapter 1 Real Numbers NCERT Solutions For Class 10 Maths Chapter 2 Polynomials NCERT Solutions For Class 10 Maths Chapter 3 Pair of Linear Equations in one Variable
NCERT Solutions For Class 10 Maths Chapter 4 Quadratic Equations NCERT Solutions For Class 10 Maths Chapter 5 Arithmetic Progressions NCERT Solutions For Class 10 Maths Chapter 6 Triangles Geometry
NCERT Solutions For Class 10 Maths Chapter 7 Coordinate Geometry NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry
NCERT Solutions For Class 10 Maths Chapter 10 Circles NCERT Solutions For Class 10 Maths Chapter 11 Constructions NCERT Solutions For Class 10 Maths Chapter 12 Areas Related to Circles
NCERT Solutions For Class 10 Maths Chapter 13 Surface Areas and Volume NCERT Solutions For Class 10 Maths Chapter 14 Statistics NCERT Solutions For Class 10 Maths Chapter 15 Probability

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