The coefficient of `x^n`, where n is any positive integer, in the expansion of `(1- 2x + 3x^2 -... oo )^(2)` is

The coefficient of x^n , where n is any positive integer, in the expansion of (1+2x+3x^2 +... to oo)^(1//2) is:

Coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+...oo)^(2) is

The coefficient of x^(10) in the expansion of (1-2x+3x^(2)-4x^(3)+...oo)^(2) is

The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

The sum of the coefficients in the expansion of (1 - x + x^(2) - x^(3))^(n) ,is

Find the coefficient of x^n in the expansion of (1+ 2x + 3x^2 + 4x^3 + …..)^2

Let the coefficients of powers of x in the 2^(nd), 3^(rd) and 4^(th) terms in the expansion of (1 + x)^(n) , where n is a positive integer, be in arithmetic progression. Then the sum of the coefficients of odd powers of x in the expansion is