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If (1+x+x^2+x^3)^100=a0+a1+a2x^2+..........

If `(1+x+x^2+x^3)^100=a_0+a_1+a_2x^2+.......+a_300x^300,` then

A

`a_(1)=100`

B

`a_(0)+a_(1)+a_(2)+…..+a_(300)` is divisible by 1024

C

coefficients equidistant from beginning and end are equal

D

`a_(0)+a_(2)+a_(4)+……..+a_(300)=a_(1)+a_(3)+a_(5)+……+a_(299)`

Text Solution

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The correct Answer is:
A, B, C, D
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