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 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 (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

If (x + 1)(x + 2) …(x + n) = A_0 + A_1 x + ….+ A_n x^n then A_1 + 2A_2 + ….+ nA_n =

If (1 + ax + b x^2)^4 = a_0 +a_1 x + a_2 x^2 +...+a_8 x^8 when a,b,a_0,a_1,a_2...,a_8 in R such that a_0+a_1+a_2 != 0 and |(a_0,a_1,a_2),(a_1,a_2,a_0),(a_2,a_0,a_1)|=0 then the value of 5a/b (A) 6 (B) 8 (C) 10 (D) 12

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 (1 + ax + b x^2)^4 = a_0 +a_1 x + a_2 x^2 +...+a_8 x^8 when a,b,a_0,a_1,a_2...,a_8 in R such that a_0+a_1+a_2 != 0 and |(a_0,a_1,a_2),(a_1,a_2,a_3),(a_2,a_0,a_1)| then the value of 5a/b (A) 6 (B) 8 (C) 10 (D) 12