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यदि C(0),C(1),C(2),....C(n) सभी (1+x)^(n...

यदि `C_(0),C_(1),C_(2),....C_(n)` सभी `(1+x)^(n)`, के प्रसार में द्विपद गुणांक हो, तो सिद्ध कीजिएः
`C_(1)+2C_(2)+3C_(3)+......+nC_(n)=n(2^(n)-1)`

A

`n.2^(n)`

B

`n.2^(n-1)`

C

`n.2^(n+1)`

D

None

Text Solution

Verified by Experts

The correct Answer is:
B
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