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

If `(1 +x + x^(2))^(n) = a_(0) + a_(1) x + a_(2) x^(2) + … + a_(2n) x^(2n)` , then `a_(0) + a_(2) + a_(4) + … + a_(2n)` equals

A

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

B

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

C

`(1 - 3^(n))/(2)`

D

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

Text Solution

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The correct Answer is:
A
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