If `(1+x+x^2)^n=a_0+a_1x+a_2x^2+........a_(2n)x^(2n);` Find the value of `a_0+a_3+a_6+........;ninN`

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

If (1+x+x^(2))^(n)=a_(0)+a_(1)x+a_(2)x^(2)++a_(2n)x^(2n) find the value of a_(0)+a_(3)+a_(6)++,n in 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) ,

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)+.......

If (1+x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0+a_1+a_2+...+a_(2n)

If (1+x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0-a_1+a_2_...+a_(2n)

If (1+2x-x^2)^n/(1+x^2)=a_0+a_1x+a_2x^2+...+a_(2n)x^(2n) then find a_0+a_2+a_4+...+a_(2n)

If (1+x)^n = a_0+a_1x+a_2x^2+......+a_nx^n , find the sum a_0+a_4 + a_8 + a_12 + ….. .