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

Share**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

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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**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.

a_{n} = 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.

- Introduction
- Arithmetic Progressions
- nth Term of an AP
- Sum of First n Terms of an AP