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The sum of the first three terms of a geometric progressi...

The sum of the first three terms of a geometric progression is half its sum to infinity. Find the positive common ratio of the progression.

A.

14

B.

32

C.

13

D.

12

Correct answer is B

Let the G.p be a, ar, ar2, S3 = 12S

a + ar + ar2 = 12(a1r)

2(1 + r + r)(r - 1) = 1

= 2r3 = 3

= r3 = 32

r(32)13 = 32