Article contents
Sums of Integer Powers
Published online by Cambridge University Press: 22 September 2016
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
![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20170915062928877-0744:S0025557200099812:S0025557200099812_inline1.gif?pub-status=live)
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
- Copyright
- Copyright © Mathematical Association 1982
- 2
- Cited by