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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 the value of
`a_(0)+a_(2)+a_(4)+…………+a_(50)` is

A

odd and of the form 3n

B

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

C

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

D

even

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Verified by Experts

The correct Answer is:
D
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