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Three consecutive terms of a geometric progression are gi...

Three consecutive terms of a geometric progression are give as n - 2, n and n + 3. Find the common ratio 

A.

32

B.

23

C.

12

D.

14

Correct answer is A

hn2=n+3n

n2 = (n + 3) (n - 2) 

n2 = n2 + n - 6

n2 + n - 6 - n2 = 0

n - 6 = 0

n = 6

Common ratio: nn2=662=64 = 32