Home
Class 12
MATHS
If C(0),C(1),C(2), . . . .,C(n) are bin...

If `C_(0),C_(1),C_(2), . . . .,C_(n)` are binomial coefficients of order n, then the value of `(C_(1))/(2)+(C_(2))/(4)+(C_(3))/(6)+ . . .=`

A

`(2^(n)+1)/(n+1)`

B

`(2^(n)-1)/(n+1)`

C

`(2^(n)+1)/(n-1)`

D

`(2^(n))/(n+1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 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

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)+...... =

The value of sum_(r=1)^(10)r(n C_(r))/(n C_(r-1)) =

If C_(0), C_(2), C_(4).. . are the binomial coefficients in the expansion of (1+x)^(9) then C_(0)+C_(2)+C_(4)+C_(6)+C_(8) =

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

20 C_(0)+20 C_(1)+20 C_(2)+.. .+20 C_(10) =

Sum to (n+1) terms of the series: (C_(0))/(2)-(C_(1))/(3)+(C_(2))/(4)-(C_(3))/(5)+ . . . is:

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

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:

If the value of C_(0)+2C_(1)+3C_(2)+ . . .+(n+1)C_(n)=576 , then n is

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