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Sums of Integer Powers

Published online by Cambridge University Press:  22 September 2016

D. Desbrow
D. Desbrow*
Affiliation:
Dept. of Mathematics, The King’s Buildings, Edinburgh EH9 3JZ
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Extract

In a recent article (this Gazette, 65 (1981), 87-92) Dr Anderson raised the question of the derivation of the well-known formula for the sum of integer squares, in contradistinction to its mere verification by induction. Some time ago, in response to a request from a colleague, I derived each of the well-known formulas

by arguments based upon the decomposition of rectangles. As a complement to Dr Anderson’s article, these may be of interest; especially, in view of the derivation, to those requiring the formulas for elementary integration from first principles.

Type
Research Article
Information
The Mathematical Gazette , Volume 66 , Issue 436 , June 1982 , pp. 97 - 100
Copyright
Copyright © Mathematical Association 1982

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