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: is

A. 28 B. 22

C. –38 D. – 48

(i)

Here, a = 10, d = – 3 and n = 30

We know:

a_n = a + (n – 1)d

Or, a₃₀ = 10 + (30 – 1)(- 3)

= 10 – 87 = - 77

Hence,

Answer (C) – 77

(ii) Here, a = - 3, d = 5/2 and n = 11

We know that, a_n = a + (n – 1)d

Or, a₁₁ = - 3 + (11 – 1) 5/2

= - 3 + 10 x (5/2) = - 3 + 25 = 22

Hence,

Answer (B) 22