In the expansion of `(x^2+2x+2)^n, n in N`
(A) coefficient of `x=n.2^n`
(B) coefficient of `x^2=n^2 2^(n-1)`
(C) coefficient of `x^3=n^2 2^(n-2)`
(D) none of these

In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients of x^5 and x^(10) is 0 then n is

In the expansion of (x^2+1+1/(x^2))^n ,n in N , number of terms is 2n+1

In the expansion of (x^2+1+1/(x^2))^n ,n in N , number of terms is 2n+1

If in the expansion of (1 + ax)^(n),n in N, the coefficient of x and x^(2) are 8 and 24 respectively, then

Prove that the coefficients of x^n in (1+x)^(2n) is twice the coefficient of x^n in (1+x)^(2n-1)dot

In the expansion of (3+x/2)^(n) the coefficients of x^(7) and x^(8) are equal, then the value of n is equal to

The coefficient of x^(n) in (x+1)/((x-1)^(2)(x-2)) is

In the expansion of (x^(2) + (1)/(x) )^(n) , the coefficient of the fourth term is equal to the coefficient of the ninth term. Find n and the sixth term of the expansion.

prove that the coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^n in the expansion of (1+x)^(2n-1)

Prove that he coefficient of x^n in the expansion of (1+x)^(2n) is twice the coefficient of x^(n) in the expansion of (1+x)^(2n-1)