Home
Class 11
MATHS
The sum to (n+1) terms of the series C0...

The sum to `(n+1)` terms of the series `C_0/2-C_1/3+C_2/4-C_3/5+......=`

A

`(1)/(n+1)`

B

`(1)/(n+2)`

C

`(1)/(n(n+1))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the sum of ( n + 1 ) terms of the following series 2 C_ 0 − 3 C_ 1 + 4 C_ 2 − 5 C_ 3 + ... ...

If C_(r) stands for nC_(r), then the sum of first (n+1) terms of the series aC_(0)-(a+d)C_(1)+(a+2d)C_(2)-(a+3d)C_(3)+...... is

If n is odd, then sum of the series C_(0)^(2)-C_(1)^(2)+C_(2)^(2)-C_(2)^(3)+…..+(-1)^(n)C_(n)^(2) is

If C_(0),C_(1),C_(2),...,C_(n) denote the binomial coefficientsin the expansion of (1+x)^(n), then (C_(0))/(2)-(C_(1))/(3)+(C_(2))/(4)-(C_(3))/(5)+......+(-1)^(n)(C_(n))/(n+2)=

If n ge 2 is a positive integer, then the sum of the series ""^(n+1)C_2 + 2(""^2C_2+ ""3C_2 + ""4C_2 +...+ ""nC_2) is:

The sum of the series 3*C_(0)+11*C_(1)+19*C_(2)+27*C_(3)+...+(8n+3)*C_(n) is

" The sum of the series "3*C_(0)+11*C_(1)+19*C_(2)+27*C_(3)+...+(8n+3)*C_(n)" is "

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