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:


an = 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, an = a + (n – 1)d


Or, a11 = - 3 + (11 – 1) 5/2


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


Hence,


Answer (B) 22


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