Question

The sum of the first three terms of a GP is 39/10 and their product is 1.Find the common ratio and the terms.

Answer 1

assume a/r,a,ar are in g.p. then a.ar.a/r=1. then a=1

a/r+a+ar=39/10=1/r+1+r=39/10

r2-29r+10=0 then r=2/5 or 5/2

taking r=5/2 terms are 2/5,1,5/2