# RD Sharma Class 10 Chapter 9 (Arithmetic Progression) Solutions

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Chapter 9 ‘Arithmetic Progression’ of RD Sharma Class 10 consists of questions asking you to find the first term, common difference, the last term and the sum of first n terms. Unlike NCERT, you get to solve questions involving high-order thinking in RD Sharma. To sum up, there are three main formulas in this chapter that are given below.

## RD Sharma Class 10 Chapter 9 (Arithmetic Progression) Solutions

RD Sharma - MathematicsClass 10th , RD Sharma
 Chapter 1 - Real Numbers Chapter 2 - Polynomials Chapter 3 - Pair of Linear Equations in Two Variables Chapter 4 - Triangles Chapter 5 - Trigonometric Ratios Chapter 6 - Trigonometric Identities Chapter 7 - Statistics Chapter 8 - Quadratic Equations Chapter 9 - Arithmetic Progressions Chapter 10 - Circles Chapter 11 - Constructions Chapter 12 - Some Application of Trigonometry Chapter 13 - Probability Chapter 14 - Co-ordinate Geometry Chapter 15 - Areas Related to Circles Chapter 16 - Surface Areas and Volumes
Class 10th RD Sharma

## Important Formulas| RD Sharma Class 10 Chapter-9

1. When you are given a sequence with first term ‘a’ and common difference ‘d’, you can find the nth term by the formula provided below.

an = a + (n - 1) d

2. To find the sum of the first n terms of an AP, apply the following formula.

S = n/2 {2a + (n - 1)d}

3. In a finite AP, where the last term is given, then you can find the sum of all terms of the AP using the formula given here.

S = n/2 (a + l)

## Concepts in RD Sharma Class 10 Chapter-9

The concept of AP is simple as you can easily spot the sequence having successive terms. You can obtain each successive term by adding a fixed number to the preceding terms. A sequence is said to be in AP if the common difference between all its terms is equal.

Below is the check-list of concepts from Chapter-9 of RD Sharma Class 10 that you need to clear before you appear for the exam.

1. Introduction
2. Arithmetic Progressions
3. nth Term of an AP
4. Sum of First n Terms of an AP