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

If `(1+x+x^2)^n=a_0+a_1x+...+a_(2n)x^(2n)` then

A

`a_0+a_1+a_4+...=(3^n+1)/2`

B

`a_0-a_2+a_4-a_6+...=cos((npi)/2)`

C

`a_0-a_2+a_4-a_6+...=sin((npi)/2)`

D

`a_1-a_3+a_5-a_7+...=0` if n even

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A, B, D
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PATHFINDER-BINOMIAL THEOREM-QUESTION BANK
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