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If (1+x+x^(2)+…+x^(p))^(n) =a(0)+a(1)x+a...

If `(1+x+x^(2)+…+x^(p))^(n) =a_(0)+a_(1)x+a_(2)x^(2)+…+a_(np)x^(np),`
then find the value of `a_(1)+2a_(2)+3a_(3) +….+ np a_(np)`

A

`(np^(n))/(2)`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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