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

If `(1+x+x^2)^n=a_0+a_1x+a_2x^2+.......+a_(2n)x^(2n)`, then prove that `a_0+a_2+a_4+....+a_(2n)=1/2(3^n+1)`.

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PATHFINDER-BINOMIAL THEOREM AND PRINCIPLE OF MATHEMATICAL INDUCTION-QUESTION BANK
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