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sum(r=0)^(n)((r+2)/(r+1))*""^(n)C(r) is ...

`sum_(r=0)^(n)((r+2)/(r+1))*""^(n)C_(r)` is equal to :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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