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Not All Numbers Can Be Created Equally

John P. Bonomo
The College Mathematics Journal
Vol. 45, No. 1 (January 2014), pp. 3-10
DOI: 10.4169/college.math.j.45.1.003
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.1.003
Page Count: 8
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Not All Numbers Can Be Created Equally
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Abstract

Summary We take a well-known problem—which numbers can or cannot be written as a sum of consecutive integers—and generalize it for summations involving any arithmetic sequence. Various general and specific theorems involving these summations are proven.

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