Find the sum of the series:

. .

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- Dec 30th 2006, 01:02 PMSorobanQuickie #6
Find the sum of the series:

. .

- Dec 30th 2006, 01:43 PMThePerfectHacker
- Dec 30th 2006, 02:41 PMTD!
I don't know where it was solved, but even without (explicit) induction:

So summing for k = 1 till n gives (n+1)!-1 since all intermediate terms cancel out.