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If (1+x)^n=sum(r=0)^n Crx^r then prove t...

If `(1+x)^n=sum_(r=0)^n C_rx^r` then prove that `C_1+2C_2+3C_3+.....+nC_n=n2^(n-1)`

A

`n. 2^(n)`

B

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

C

`n.2^(n-1)`

D

`n.2^(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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