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

If in the expansion of (x^3-1/x^2)^n the sum of the coefficients of x^5 and x^10 is 0 , then the coefficient of :the third term

In the expansion of (1+x)^(n) ,Then sum of the coefficients of odd power of x is

In the expansion of (3^(-(x)/(4))+3^((sx)/(4)))^(n),n in N if sum of the binomial coefficients is 64 then n is:

If the sum of the coefficients in the expansion of (1-4x+7x^(2))^(n) is "a" and the sum of the coefficients of (1+x+2x^(2))^(n) is "b" ,then find relation between a and b

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

The sum of the binomial coefficients in the expansion of (x^2+1/x)^n is 1024. find the coefficient of x^11 in the binomial expansion.

If sum of the coefficients in the expansion of (x+1/x)^(n) is 128, then coefficient of x in the expansion of (x+1/x)^(n) is

Prove that in the expansion of (1+x)^(2n) , the coefficient of x^n is double the coefficient of x^n in the expansion of frac{(1+2x+x^2)^n}{1+x}