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If (1+x)^n=a0+a1x+a2x^2).....+anx^n then...

If `(1+x)^n=a_0+a_1x+a_2x^2).....+a_nx^n` then value of the series ` a_(0)-a_(2) + a_(4)-a_(6) +…..` is

A

`2^(n)cos""(npi)/4`

B

`2^(n-1)cos""(npi)/4`

C

`2^(n-1)cos""(npi)/4`

D

`2^(n/2)cos""(npi)/4`

Text Solution

Verified by Experts

The correct Answer is:
D
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