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Find the sum of the series Sigma(r=0)^(n...

Find the sum of the series `Sigma_(r=0)^(n) (-1)^r .""^nC_r[1/2^r+(3^r)/(2^(2r))+(7^r )/(2^(3r ) )+ (15 ^r)/(2^(4r))+……"up to m terms"]`

Text Solution

Verified by Experts

The correct Answer is:
`(2^(mn)-1)/((2^n-1)(2^(mn))`
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