# Solutions of Ncert Mathematics Textbook Ex 5.2 on AP

## (SA-II / Term II)

### Chapter 5, ARITHMETIC PROGRESSIONS

#### NCERT Solutions for Mathematics Textbook Exercise 5.2

(nth Term of an arithmetic progression / AP)

(Page 105, 106)

2: Choose the correct choice in the following and justify:

(i) 30th term of the AP: 10, 7, 4, . . . . . is

(A) 97  (B) 77  (C) –77  (D) –87

(ii) 11th term of the AP (Arithmetic Progression): –3, –1/2, 2, . . . is

(A) 28  (B) 22  (C) –38  (D) –48

3: In the following APs, find the missing terms in the boxes:

4: Which term of the AP: 3, 8, 13, 18, . . . . , is 78 ?

5: Find the number of terms in each of the following APs:

(i) 7, 13, 19, . . . . , 205

(ii) 18, 15 , 13, . . . . . , –47

6: Check whether –150 is a term of the Arithmetic Progression (AP): 11, 8, 5, 2, . . .

7: Find the 31st term of an AP whose 11th term is 38 and the 16th term is 73.

8: An AP consists of 50 terms of which third term is 12 and the last term is 106. Find the 29th term.

9: If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero ?

10: The 17th term of an AP exceeds its 10th term by 7. Find the common difference.