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find the sum of the series sum(r=0)^n(-...

find the sum of the series `sum_(r=0)^n``(-1)^r` `*``"^nC_r``[1/(2^r)+(3^r)/(2^(2r))+(7^r)/(2^(3r))+(1 5^r)/(2^(4r))...`up to m terms]

A

`(2^(10)+1)/(2^(20))`

B

`(2^(10)-1)/(2^(20))`

C

`(2^(20)-1)/(2^(20))`

D

none of these

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The correct Answer is:
A
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