Q. 24.4( 179 Votes )

# Choose the correct choice in the following and justify:(i) 30th term of the AP: 10, 7, 4, . . . , isA. 97 B. 77C. –77 D. – 87(ii) 11th term of the AP: isA. 28 B. 22C. –38 D. – 48

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

Here, a = 10, d = – 3 and n = 30

We know:

an = a + (n – 1)d

Or, a30 = 10 + (30 – 1)(- 3)

= 10 + 29(-3)

= 10 – 87
= - 77

Hence,

Answer (C) – 77

(ii) The 11th term of the AP: is
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 + (5)(5)
= - 3 + 25
= 22

Hence,

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