Iterated sums of arithmetic progressions

Nyblom, M 2007, 'Iterated sums of arithmetic progressions', Gazette of the Australian Mathematical Society, vol. 34, no. 5, pp. 283-287.

Document type: Journal Article
Collection: Journal Articles

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Title Iterated sums of arithmetic progressions
Author(s) Nyblom, M
Year 2007
Journal name Gazette of the Australian Mathematical Society
Volume number 34
Issue number 5
Start page 283
End page 287
Total pages 4
Publisher Australian Mathematical Society
Abstract Using generating functions we obtain a closed form expression involving two binomial coefficients for the iterated or k-fold summation of an arbitrary arithmetic progression of real numbers. As a contrast we obtain the same closed form expression using an elementary method based on an examination of Pascal's triangle. Some combinatorial interpretations of the iterated sums are also provided.
Subject Algebra and Number Theory
Keyword(s) arithmetic progressions
Copyright notice © Austral. Mathematical Soc.
ISSN 0311-0729
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