Question

In an arithmetic progression, the p^th term is 1/q and the q^th term is 1/p. Find the sum of the first ‘pq’ terms of the progression.

• A.
• B. pq + 1
• C.
• D.
• E. p*q

Answer 1

The correct option is C

Solution: OPTION (c)

Using Assumption

Let p = 1 and q= 2

Then as stated 1^st term is ½ and 2^nd term is 1. So we have an AP with common difference ½.

So the AP is: ½, 1, 3/2, 2, 5/2….

Now sum of first pq terms : sum of first two terms = ½ + 1 = 3/2

Put p = 1 and q = 2 in the options:

Correct option is (c)