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 general sums kobi_78 Junior Fellow Posts: 11 Threads: 3 Joined: Dec 2009 06/24/2010, 06:53 PM There exists a formula for iterated sums. If $Sum_n({ a_n }) = S_n$ $S_0 = 0$ $S_n = S_{n - 1} + a_n$ Then $Sum_n^k({ a_n }) = \sum_{j=1}^{n} { {k + (n - j) - 1}\choose{k - 1} } \cdot a_j$ « Next Oldest | Next Newest »

 Messages In This Thread general sums - by tommy1729 - 06/22/2010, 10:29 PM RE: general sums - by mike3 - 06/23/2010, 01:16 AM RE: general sums - by tommy1729 - 06/23/2010, 04:26 PM RE: general sums - by kobi_78 - 06/24/2010, 06:53 PM RE: general sums - by tommy1729 - 06/24/2010, 07:45 PM RE: general sums - by kobi_78 - 06/24/2010, 07:56 PM

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