Home
Class 12
MATHS
In the expansion of (1+x+x^2+x^3+…..oo)^...

In the expansion of `(1+x+x^2+x^3+…..oo)^3, ` coefficient of `x^3` is

A

4

B

6

C

8

D

10

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

In the expansion of (1-2x+3x^2 -4x^3+…."to")^4 coefficient of x^2 is

In the expansion of ( 1 + x+ x^(2) + x^(3))^(6) , the coefficient of x^(14) is :

In the expansion of (5x-3) (x + 2)^(2) , find : coefficients of x^(2) and x

In the expansion of (3x+2y-z)^(8) , the coefficients of x^(2)y^(3)z^(3) is

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

If |x|lt1 then the coefficient of x^(3) in the expansion of log(1+x+x^(2)) is ascending power of x is

If the coefficient x^(2) and x^(3) in the expansion of (1 + 8x + bx^(2))(1 - 3x)^(9) in the power of x are equal , then b is :

Find the coefficient of x^7 in the expansion of (1+2x + 3x^2 + 4x^3 + 5x^4 + 6x^5 + 7x^6 + 8x^7)^10

The coefficient of x^9 in the expansion of (1+x)(1+ x^2)(1+x^3)....(1+x^(100)) is

The coefficients of x^(13) in the expansion of (1 - x)^(5) (1 + x + x^(2) + x^(3) )^(4) , is