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The first term of a Geometric Progression (GP) is \(\frac{3}...

The first term of a Geometric Progression (GP) is 34, If the product of the second and third terms of the sequence is 972, find its common ratio

A.

3

B.

4

C.

6

D.

12

Correct answer is D

Recall, the terms of a GP is given by Tn=arn1

Given, T1=a=34 and T2×T3=ar×ar2=972

34r×34r2=916r3=972

r3=972×169=1728r=31728=12