Let `(1+x^2)^2 (1+x)^n= A_0 +A_1 x+A_2 x^2 + ......` If `A_0, A_1, A_2,........` are in `A.P.` then the value of `n` is

If (1+x-3x^2)^2145 = a_0+a_1 x+a_2 x^2+... then a_0-a_1+a_2-.. ends with

If cosx=a_0+a_1 x+a_2x^2+... then the value of a_2 is

Let n in N . If (1 + x)^n = a_0 + a_1 x + a_2x^2+…. + a_nx^n and a_(n-3), a_(n-2) , a_(n-1) are in A.P then Statement - I : a_1, a_2, a_3 are in A.P. Statement -II : n = 7 The true statements are :

Let n in N . If (1 + x)^n = a_0 + a_1 x + a_2x^2+…. + a_nx^n and a_(n-3), a_(n-2) , a_(n-1) are in A.P then Statement - I : a_1, a_2, a_3 are in A.P. Statement -II : n = 7 The true statements are :

If (x+10)^50+(x−10)^50=a_0+a_1 x+a_2x^2+........a_50x^2+...........+a_50x^50 then the value of a2/a0 is equal to (A) 12.25 (B) 12.75 (C) 11.75 (D) 11.25

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_1 x + a_2x^2 + ..... + a_(2n)x^(2n) then a_0 + a_2 + a_4 + ... + a_(2n) equals

Let (1+x^2)^2 . (1+x)^n = Sigma_(k=0)^(n+4) (a_k).x ^k "if" a_1,a_2 & a_3 are in AP find n