The coefficient of `x^5in(1+2x+3x^2+)^(-3//2)i s(|x|<1)` `21` b. `25` c. `26` d. none of these

The coefficient of x^10 in (1-2x + 3x^2)/(1-x) is

Coefficient of x^5 in (1+x +x^2 +x^3)^10 is

Statement-1: The middle term of (x+(1)/(x))^(2n) can exceed ((2n)^(n))/(n!) for some value of x. Statement-2: The coefficient of x^(n) in the expansion of (1-2x+3x^(2)-4x^(3)+ . . .)^(-n) is (1*3*5 . . .(2n-1))/(n!)*2^(n) . Statement-3: The coefficient of x^(5) in (1+2x+3x^(2)+ . . .)^(-3//2) is 2.1.

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

The coefficient of x^7 in (1 + 2x + 3x^2 + 4x^3 + …… "to " oo)

The coefficient of x^4 in (1+x+x^2+x^3)^11 is

Find the coefficient of x^9 in (1 +3x +3x^2+x^3)^15 .

The coefficient of x^(20) in (1 + 3x + 3x^(2) + x^(3))^(20) ,I s

If f(x) =x^4 + 3x ^2 - 6x -2 then the coefficient of x^3 in f(x +1) is

The coefficient of x^24 in (1+3x+6x^2 + 10x^3 + ……oo)^(2//3) is