Home
Class 12
MATHS
The coefficient of x^(k) in the expansio...

The coefficient of `x^(k)` in the expansion of `1+(1+x)+(1+x)^(2)+ . . .+(1+x)^n` is

A

`""^(n)C_(k)`

B

`""^(n+1)C_(k)`

C

`""^(n+1)C_(k+1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise MCQ.s (LEVEL-II)|55 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos
  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos
  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

The coefficient of x^(n) in the expansion of (1+x)(1-x)^(n) is

The coefficient of x^(3) in the expansion of (1-x+x^(2))^(5) is

The coefficient of x^(6) in the expansion of (1+x+x^(2))^(-3) is

The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+.. .+(1+x)^(30) is

The coefficient of x^(5) in the expansion of (1+x^(2))^(5).(1+x)^(4) is

The coefficient of x^(99) in the expansion of : ( x-1)(x-2) "...." ( x-100) is :

Find the coefficient of x^8 in the expansion of (x^2-1/x)^(10)

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

The coefficient of x^(7) in the expansion of (1-x-x^(2)+x^(3))^(6) is: