Find the coefficient of `x^5` in `(1+2x+3x^2...........)^(-3/2)`

Find the coefficient of x^6 in (1 - 3x)^(-2//5)

Find the coefficient of x^6 in (1 +x+x^2)^(-3)

The coefficient of x^5 in (2-x +3x^2)^6 is

The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is:

Find the coefficient of x^(5) in (x^(2) - 3/x)^(7)

Let l,m,n are the coefficients of x^5 in (1+2x+3x^2+…..)^(-3//2), (1+x+x^2 +x^3+….)^2, (1+x)^5 Respectively then :

Find the coefficient of x^(-8) in (2x^4 - (1)/(3x^2) )^5

Find the coefficient of x^(5) in ((1-3x)^(2))/((3-x)^(3//2)).