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

If (1 - x + x^2)^n = a_0 + a_1 x + a_2x^2 + ..... + a_(2n)x^(2n) then a_0 + a_2 + a_4 + ... + a_(2n) equals

Given that (1+x+x^2)^n=a_0+a_1x+a_2x^2+.....+a_(2n)x^(2n) find i) a_0 + a_1 +a_2 .. . . .+ a_(2n) ii) a_0 - a_1 + a_2 - a_3 . . . . + a_(2n) iii) (a_0)^2 - (a_1)^2 . . . . .+ (a_(2n))^2

Given that (1+x+x^2)^n=a_0+a_1x+a_2x^2+.....+a_(2n)x^(2n) find i) a_0 + a_1 +a_2 .. . . .+ a_(2n) ii) a_0 - a_1 + a_2 - a_3 . . . . + a_(2n) iii) (a_0)^2 - (a_1)^2 . . . . .+ (a_(2n))^2

If (1-x+x^(2n))^n=a_0+a_1x+a_2^2+.+a_(2n)x^(2n) then a_0+a_2+a_4+…..+a_(2n) equals (A) (3^n+1)/2 (B) 3^n-1)/2 (C) 1-3^n /2 (D) 3^n+ 1/2

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) .

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 +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) = (3^n +1)/(2)

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) = (3^n +1)/(2)

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)