# Choose the correct choice in the following and justify:

i) 30^{th} term of the AP: 10, 7, 4,..., is

a) 97 b) 77 c) - 77 d) - 87

ii) 11^{th} term of AP: -3, - 1/2, 2,..., is

a) 28 b) 22 c) - 38 d) - 48 (1/2)

**Solution:**

i) n^{th} term of an AP is a_{n} = a + (n - 1) d

The AP is 10, 7, 4, …

Here, a = 10

Common difference, d = a_{2} - a_{1} = - 3

a_{n} = a + (n - 1)d

a_{30} = 10 + (30 - 1)(- 3)

= 10 + (29)(- 3)

= 10 - 87

= - 77

Answer: The correct option is c = - 77. 30^{th} term is - 77.

ii) The AP is - 3, - 1/2 , 2

Common difference d = a_{2} - a_{1}

= - 1/2 - (- 3)

= - 1/2 + 3

= (- 1 + 6) / 2

d = 5 / 2

a_{n} = a + (n - 1)d

a = - 3 + (11 - 1) 5 / 2

= - 3 + 10 × 5 / 2

= - 3 + 25

a_{11} = 22

Answer: The correct option is B. 11^{th} term is 22.

**Video Solution:**

## Choose the correct choice in the following and justify: i) 30^{th} term of the AP: 10, 7, 4,..., is a) 97 b) 77 c) - 77 d) - 87 ii) 11^{th} term of AP: -3, - 1/2, 2,..., is: a) 28 b) 22 c) - 38 d) - 48 (1/2)

### NCERT Solutions Class 10 Maths Chapter 5 Exercise 5.2 Question 2 - Chapter 5 Exercise 5.2 Question 2:

Choose the correct choice in the following and justify: i) 30^{th} term of the AP: 10, 7, 4,..., is a) 97 b) 77 c) - 77 d) - 87 ii) 11^{th} term of AP: -3, - 1/2, 2,..., is: a) 28 b) 22 c) - 38 d) - 48 (1/2)

The 30th term of the AP 10,7,4.. and the 11th term of the AP -3, -1/2, 2.. are -77 and 22 respectively