# NCERT Solutions for Class 10 Maths Chapter 5 Exercise 5.3

NCERT Solutions for class 10 Maths Chapter 5 Exercise 5.3 (Samantar Shreni) AP PDF files in Hindi Medium and English Medium as well as Offline Apps are updated for new academic session 2021-22 free to download.

NCERT Solutions are in Video Format also for CBSE Board, MP Board, UP Board and the students following NCERT Books 2021-22 for the current session 2021-2022. Download CBSE Apps and updated NCERT Solutions in PDF format.## NCERT Solutions for class 10 Maths Chapter 5 Exercise 5.3

Class: 10 | Maths (English and Hindi Medium) |

Chapter 5: | Exercise 5.3 |

### 10 Maths Chapter 5 Exercise 5.3 Solutions

NCERT Solutions for class 10 Maths Chapter 5 Exercise 5.3 Arithmetic Progressions – AP in English Medium as well as Hindi Medium to use Online or View in Video Format free for new academic session 2021-22. Move Class 10 Maths Chapter 5 main page for other exercises whether download or online study online.

#### Class 10 Maths Chapter 5 Exercise 5.3 Solution in Hindi Medium Video

#### Class 10 Maths Chapter 5 Exercise 5.3 Solution in Videos

#### Important Questions with Answer for Practice in AP

1. The sum of 5th and 9th terms of an A.P. is 30. If its 25th term is three times its 8th term, find the A.P. [Answer: 3, 5, 7, 9, …]

2. If Sn, the sum of first n terms of an A.P. is given by Sn = 5n² + 3n, then find its nth term and common difference. [Answer: an = 10n – 2, d = 10]

3. The sum of third and seventh terms of an A.P. is 6 and their product is 8. Find the sum of first 16th terms of the A.P. [Answer: 76, 20]

4. If the mth term of an A.P. is 1/n and the nth term is 1/m, show the sum of its first (mn) terms is 1/2(mn + 1).

5. If in an A.P. the sum of first m terms is equal to n and the sum of first n terms is m, prove that the sum of first (m + n) terms is – (m + n).

##### Questions from Board Papers

1. Determine the A.P. whose 4th term is 18 and the difference of 9th term from the 15th term is 30. [Answer: 3, 8, 13, …]

2. If the sum of first k terms of an A.P. is 1/2(3k² + 7k), write its kth term. Hence find its 20th term. [Answer: a20 = 62, ak = 3k + 2]

3. The sum of first 9 terms of an A.P. is 162. The ratio of its 6th term to its 13th term is 1:2. Find the first and fifteenth terms of the A.P. [Answer: 6, 48]

4. If the 10th term of an A.P. is 21 and the sum of its first 10 terms is 120, find its nth term. [Answer: 2n + 1]

5. The sum of first 7 terms of an A.P. is 63 and the sum of its next 7 term is 161. Find the 28th term of this A.P. [Answer: 57]

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