overset(10)underset(r=0)Sigma (-1)^(r) "...

`overset(10)underset(r=0)Sigma (-1)^(r) ""^(10)C_(r) [(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(2^(3r))+(15^(r))/(2^(4r))+_....]=`

A

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

B

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

C

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

D

None of these

Verified by Experts

The correct Answer is:

A

overset(10)underset(r=0)Sigma (-1)^(r) ""^(10)C(r) [(1)/(2^(r))+(3^(r)...
Text Solution
|
find the sum of the series sum(r=0)^(n)(-1)^(r)*^(n)C(r)[(1)/(2^(r))+(...
Text Solution
|
If sum(r=0)^(n) (-1)^(r ).""^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...
Text Solution
|
underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...
Text Solution
|
sum(r=0)^(n)(-1)^(r^(" "n))C(r)((1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(...
Text Solution
|
Let 1+r+r^(2)+...=A Where |r|<1 then 1+2r+3r^(2)+4r^(3)+......=
Text Solution
|
sum(r=0)^(n)(-1)^(r^(" "n))C(r)((1)/(2^(r))+(3^(r))/(2^(2r))+(7^(r))/(...
Text Solution
|
श्रेणी sum(r=0)^(n)(-1)^(r).^(n)C(r)((1)/(2^(r))+(3^(r))/(2^(2r))+(7^(...
Text Solution
|
Find underset(r=0) overset(10)sumr^ (10)C(r).3^(r).(-2)^(10-r)
Text Solution
|

Similar Questions