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If Sn=sum(r=1)^n(1+2+2^2+ .......+2^r)/(...

If `S_n=sum_(r=1)^n(1+2+2^2+ .......+2^r)/(2^r),` then `S_n` is equal to (a)`2^n n-1` (b) `1-1/(2^n)` (c) n`-1+1/(2^n)` (d) `2^n-1`

A

2n-(n+1)

B

`1-1/2^n`

C

`n-1+1/2^n`

D

`1+1/2^n`

Text Solution

Verified by Experts

The correct Answer is:
C
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VMC MODULES ENGLISH-SEQUENCE AND SERIES -LEVEL-1
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