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.
14
√32
1√3
1√2
Correct answer is B
Let the G.p be a, ar, ar2, S3 = 12S
a + ar + ar2 = 12(a1−r)
2(1 + r + r)(r - 1) = 1
= 2r3 = 3
= r3 = 32
r(32)13 = √32
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