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How many terms of the G.P. 3, 3/2, 3/4, ... give a sum of 3069/512?

A12
B9
C8
D10
Answer & Solution
Correct answer: D. 10
The sum is 6(1 - 2^(-n)) = 3069/512, so 2^(-n) = 1/1024 and n = 10.
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