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`

If (1-x+x^2)^n=a_0+a_1x+a_2x^2+ .........+a_(2n)x^(2n),\ find the value of a_0+a_2+a_4+........+a_(2n)dot

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+.........

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++ ,n in Ndot

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++ ,n in Ndot

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x+x^2)^n=a_0+a_1x+a_2x^2++a_(2n)x_(2n), find the value of a_0+a_6++ ,n in Ndot

If (1+x-2x^2)^6=1+a_1x+a_2x^(2)+.........+a_(12)x^(12), then find the value of a_2+a_4+a_6+................+a_(12) .

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 -x + x^2)^n = a_0 +a_1x + a_2x^2+….+a_(2n)x^(2n) then a_0 + a_2 +a_4 + …….+a_(2n) =

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