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Sum to n-terms of the series (1/2)^2 + (...

Sum to n-terms of the series `(1/2)^2 + (3/4)^2 + (7/8)^2 + (15/16)^2` +…. Is given by :

A

`n-1/3 (4^(-n) -5) + 2^(1-n)`

B

`n-1/3 (4^(-n) + 5) + 2^(-n)`

C

`n-1/3 (4^(-n) + 5) +2^(1-n)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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