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If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2...

If `(1+ x)^(n) = C_(0) + C_(1) x + C_(2)x^(2) + ...+ C_(n)x^(n)` , prove that
` C_(1) + 2C_(2) + 3C_(3) + ...+ n""C_(n) = n*2^(n-1)`

A

`2^(n-1)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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