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]

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The correct Answer is:

`[(2^(mn)-1)/(2^(mn)(2^(n)-1))]`

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