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Sum of the first n terms of the series 1...

Sum of the first `n` terms of the series `1/2+3/4+7/8+(15)/(16)+.........` is equals to (a).`2^n-n-1` (b). `1-2^(-n)` (c). `n+2^(-n)-1` (d). `2^n+1`

A

`2^n - n-1`

B

`1-2^(-n)`

C

`n+2^(-n) -1`

D

`2^n +1`

Text Solution

Verified by Experts

The correct Answer is:
C
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