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# RD Sharma Solutions for Class 11 Maths Chapter 19: Arithmetic Progressions

If the series progresses by adding a constant term to the previous term, the series is considered an arithmetic progression. In other words, if the difference between one term and the previous term is always the same, the series is called an arithmetic progression. The following are some of the most important characteristics of an AP: The n th term of an AP sequence is a linear expression in n, i.e. a +(n-1)d, where a is constant or the first term, and d is a common difference. If each term of an AP is multiplied by a constant, the ensuing sequence is an AP, with the common difference being the product of the constant and the old common difference.

When each term of an AP is multiplied or divided by a non-zero constant, the resulting sequence is also an AP. If an is the initial term, d is a common difference, and L is the last term of an AP, then

• 1. The nth term of an AP  an = a + (n – 1) d
• 2. Sum of an AP = (n/2)(2a + (n-1)d)
• 3. Common difference of an AP, d = an – an-1, n > 1.

The chapter holds importance in the study of higher mathematics as it is used in logic building and various other avenues. Therefore, the formulae and the basic concepts of the chapter are very important to understand to get a grasp of the chapter. The exercises in the textbook are very crucial in this context, and each and everything related to this topic has been covered in RD Sharma Solutions. First, an AP's general expression's formula and questions are solved. Then, the terms of an AP are covered, followed by three consecutive terms of an AP. Next, the properties of the arithmetic progressions, including the arithmetic mean, are covered in the chapter. Lastly, the sum of the arithmetic progression is taught to the students.

The RD Sharma Class 11 Maths is the right tool for students who want to get a firm understanding of mathematics. During class, students often have trouble interpreting concepts. To solve this problem, experts have devised solutions based on the students' grasping skills. It assists them in solving chapter- and exercise-specific issues and boosting their motivation level before appearing for the exams.