Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-07T20:15:22.163Z Has data issue: false hasContentIssue false

Sums equal to products

Published online by Cambridge University Press:  01 August 2016

Nick MacKinnon
Affiliation:
Blundell’s School, Tiverton, Devon EX16 4DN
Nick Lord
Affiliation:
Tonbridge School, Tonbridge, Kent

Extract

The aim of this short article is to produce a sequence of real numbers x1, x2, x3, … with the property that, for each n,

x1 + x2 + … + xn = x1x2 = xn.

This turns out to be an interesting classroom exercise involving simple equations and iteration.

Type
Research Article
Copyright
Copyright © Mathematical Association 1986

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)