If (1+x+x^2)^n = a0+a1x+a2x2 +.............

If `(1+x+x^2)^n = a_0+a_1x+a_2x_2 +..............+a_(2n)x^(2n)` then the value of `a_1+a_4+a_7+.........`

A

`3^(n-1)`

B

`3^(n-1)w`

C

`3^(n-1)w^(2)`

D

None of these

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x_(2)+............+a_(2n)x^(2n) then the value of a_(1)+a_(4)+a_(7)+.......

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x_(2)+............+a_(2n)x^(2n) then the value of a_(2)+a_(5)+a_(8)+.......

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+.......+a_(2n)x^(2n) find the value a_(0)+a_(1)+a_(2)+......+a_(2)n

Given that (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(2n)x^(2n) , find the values of a_(0)-a_(1)+a_(2)-a_(3)......+a_(2n) ,

(1+x)^(n)=a_(0)+a_(1)x+a_(2)*x^(2)+......+a_(n)x^(n) then prove that

If n ge 2 , and (1 + x + x^(2))^(n) = a_(0) + a_(1)x + a_(2)x^(2) + .. . +a_(2n) x^(2n) , then a_(0) - 2a_(1)+ 3a_(2) + ... + (2n + 1)a_(n) = ______

If (1+x+2x^2)^20=a_0 + a_1x+a_2x^2+....................+a_40x^40 then a_0+a_2+a_4+.............+a_38 is