Home
Class 12
MATHS
C(0)-C(1)+C(2)-C(3)+ . . .+(-1)^(n)C(n) ...

`C_(0)-C_(1)+C_(2)-C_(3)+ . . .+(-1)^(n)C_(n)` is equal to

A

`2^(n)`

B

`2^(n)-1`

C

`0`

D

`2^(n-1)`

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 value of C_(0)+3C_(1)+5C_(2)+7C_(3)+ . . .+(2n+1)C_(n) is:

If C_(0), C_(1), C_(2), C_(3),.., C_(n) are the binomial coefficients in the expansion of (1+x)^(n) , then (C_(0))/(1)+(C_(2))/(3)+(C_(4))/(5)+(C_(6))/(7)+...... =

If '^(n)C_(12) = ""^(n)C_(8) then n is equal to

The mean of the values of 0, 1, 2, …., n, having corresponding weight .^(n)C_(0), .^(n)C_(1), .^(n)C_(2), ....., .^(n)C_(n) respectively is :

If (1+x)^(n)= C_(0)+C_(1).x+C_(2). x^(2)+.. . C_(n). x^(n) in the usual notation then C_(0)^(2)+C_(1)^(2)+C_(2)^(2)+.. .+C_(n)^(2) =

The sum (1)/(2)""^(10)C_(0)-""^(10)C_(1)+2.""^(10)C_(2)-2^(2)*""^(10)C_(3)+ . . .+2^(9)*""^(10)C_(10) equals:

(C_(0))/(1)-(C_(1))/(2)+(C_(2))/(3)+.. . .+((-1)^(n))/(n+1). C_(n) =

If (1+x)^(n)=C_(0)+C_(1)x+C_(2)x^(2)+ . . .+C_(n)x^(n) , then the value of : C_(1)+2C_(2)+3C_(3)+ . . .+nC_(n) is:

The value of C_(1)+4C_(2)+7C_(3)+ . . .+(3n-2)C_(n) is