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If (1+x+x^(2))^(25)=a(0)+a(1)x+a(2)x^(2)...

If `(1+x+x^(2))^(25)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50).x^(50)`, then `a_(0)+a_(2)+a_(4)+....+a_(50)` is

A

even

B

odd and the form 3n

C

odd and of the form `(3n-1)`

D

odd and of the form `(3n+1)`

Text Solution

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The correct Answer is:
A
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