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" Prove that "sum(n=1)^(1023)log(2)(1+(1...

" Prove that "sum_(n=1)^(1023)log_(2)(1+(1)/(n))=10

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sum_(n=1)^(1023)log_(2)(1+(1)/(n)) is equal to

sum_(n=1)^(1023)log_(2)(1+(1)/(n)) is equal to

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Prove that sum_(r = 1)^(n+1) (2^(r +1) C_(r - 1) )/(r (r + 1)) = (3^(n+2) - 2n - 5)/((n+1)(n+2))

Prove that sum_(r = 1)^(n+1) (2^(r +1) C_(r - 1) )/(r (r + 1)) = (3^(n+2) - 2n - 5)/((n+1)(n+2))