Question 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: – 3, −1/2, 2, …. is

(A) 28                        (B) 22                               (C) –38                             (D) 

Answer:

I. Given that

A.P. 10, 7, 4, …

First term, a = 10

Common difference, d = a₂ − a₁ = 7 − 10 = = −3

We know that, a_n = a + (n − 1) d

a₃₀ = 10 + (30 − 1) (−3)

a₃₀ = 10 + (29) (−3)

a₃₀ = 10 − 87 = −77

Hence, the correct answer is C.

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

First term a = −3

Common difference, d = a₂ − a₁

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