Three positive numbers form an increas-ing G.P. If the middle term in this G.P. is tripled, the new numbers are in A.P. Then the common ratio of G.P.is:

Let the three positive numbers in the increas-ing G.P. bear,a,ar where r>1We are given, ar , 3a, ar are in A.P. ∴          ar+ar=2(3a)⇒           r2−6r+1=0⇒            r=3±22As           r>1, r=3+22