Question

Three positive numbers from an increasing 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: CORRECT ANSWER WILL BE MARKED AS BRAINLIEST.

Answer 1

Step-by-step explanation:

Let a,ar,ar^2 are in GP, where (r>1)

On multiplying middle term by 2, we have

a,3ar,ar^2 are in an AP.

⇒6ar=a+ar^2

⇒r^2−6r+1=0

⇒r=(6±sqrt(36 -4))/(2)

⇒r=3±sqrt(32)

⇒r=3+sqrt(32) [since, AP is increasing]