[" Coefficient of "x^(n)" in the expansion of "(1-],[2x+3x^(2)-4x^(3)+...........)^(2)" is "]

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

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

If |x| lt 1 , then the coefficient of x^(5) in the expansion of (1+ 2x + 3x^(2) + ..........)^((-3)/2) is

If |x|<1, then find the coefficient of x^(n) in the expansion of (1+2x+3x^(2)+4x^(3)+...)^(1/2)

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

The coefficient of x^(n) in the expansion of (2+3x)(e^(-3x)) is

The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is