Find the sum of the series sum(r=1)^(...

Find the sum of the series
`sum_(r=1)^(n) (-1)^(r)""^(n)C_(r) {(1)/(2^(r)) + (3^(r))/(2^(2r)) + (7^(r))/(2^(3r)) + (15^(r))/(2^(4r)) + ..."upto m terms"}` .

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The correct Answer is:

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

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