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If C(n) is the coefficient of x^(n) in...

If `C_(n)` is the coefficient of `x^(n)` in the expansion of
`(1+x)^(n)` then `C_(1)+2. C_(2)+3. C_(3)+..+n. C_(n) `

A

`2^(n) `

B

`n. 2^(n) `

C

`n. 2^(n+1) `

D

`n. 2^(n-1) `

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  9. If (1+x)^(n) = C(0)+C(1).x+C(2). x^(2)+..+C(n). x^(n) then C(0)+2. ...

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