# Successive Differences of Sequences

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Let be a sequence of numbers . In this Demonstration the sequences are named integer sequences.

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Contributed by: George Beck (March 2011)

Open content licensed under CC BY-NC-SA

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## Details

The sequence is often written more compactly as , in analogy with , the infinite sum of the sequence . The notions of sequence and series are related but often mixed up by beginners; sequences are indexed sets of numbers and series add them up. Of course, the sums of integer sequences such as the ones in this Demonstration do not converge in the usual sense.

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