Question

The sum of first 3 terms of a G.P is 39/10 and there product is 1. Find the common ratio and the terms. ​

Answer 1

Answer:

Common ratio=2/5

Terms=5/2,1,2/5 or 2/5,1,5/2

Step-by-step explanation:

Let first term be a/r and r be common ratio.

So 2nd term=a

3rd term=at

According to question,

a/r x a x ar=1

a^3=1

a=1

Also,

a/r + a + ar=39/10

Putting value of a and solving, we get

r=2/5 or 5/2

So terms are 5/2,1,2/5 or 2/5,1,5/2.