Choose the correct choice in the following and justify: (i) 30th term of the A.P: 10,7, 4, …, is (A) 97 (B) 77 (C) −77 (D) −87

The correct answer is option C -77

Given that

A.P. = 10, 7, 4, …

Find out

30th term

Solution

We know that from given series

First term, a = 10

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

As we know, for an A.P.,

an = a +(n−1)d

Putting the values;

a30 = 10+(30−1)(−3)

a30 = 10+(29)(−3)

a30 = 10−87 = −77

Hence, a30 = -77

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