Prove that {1+(1/1)}^1 x {1+(1/2)}^2 ...{1+[1/(n-1)]}^(n-1) = {n^(n-1)}/{(n-1)!} I assume this has to be done by induction, but I'm having trouble working it out.
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Originally Posted by ashamrock415 Prove that {1+(1/1)}^1 x {1+(1/2)}^2 ...{1+[1/(n-1)]}^(n-1) = {n^(n-1)}/{(n-1)!} I assume this has to be done by induction, but I'm having trouble working it out. There's actually no need for induction. Notice all the cancellations...
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