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Series summable as Arithmetical Progressions

Published online by Cambridge University Press:  31 October 2008

A. A. Krishnaswami Ayyangar
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We may group the terms of the A. P. a, a + d, a + 2d, …… as follows: the first p terms, the next p + t terms, the next p + 2t terms, and so on. The sum of the terms comprising the nth group is

which is a rational integral function of n of the third degree.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 23 , June 1925 , pp. 14 - 15
Copyright
Copyright © Edinburgh Mathematical Society 1925