Question

Two A.P.'s have the same common difference. The first term of one of these is 8 and that of the other is 3. The difference between their 30th term is

(a) 11

(b) 3

(c) 8

(d) 5

Answer 1

Here, we are given two A.P.’s with same common difference. Let us take the common difference as d.

Given,

First term of first A.P. (a) = 8

First term of second A.P. (a_’) = 3

We need to find the difference between their 30^th terms.

So, let us first find the 30^th term of first A.P.

Similarly, we find the 30^th term of second A.P.

Now, the difference between the 30^th terms is,

Therefore,

Hence, the correct option is (d).