RD Sharma Class 10 Chapter 9 (Arithmetic Progression) Solutions


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

Exercise 9.1
  • Exercise 9.1
  • Exercise 9.2
  • Exercise 9.3
  • Exercise 9.4
  • Exercise 9.5
  • CCE - Formative Assessment
Class 10th|RD Sharma - MathematicsChapter 9 - Arithmetic Progressions
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
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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