More Designer Decimals: The Integers and Their Geometric Extensions

Authors: Chan, O-Yeat; Smoak, James

Source: The College Mathematics Journal, Volume 37, Number 5, November 2006 , pp. 355-363(9)

Publisher: Mathematical Association of America

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Abstract:

The fraction 10000/9801 has an intriguing decimal expansion, namely 1.02030405... In this paper, we investigate the properties of this fraction via an arithmetical approach. The approach also yields a class of fractions whose decimal expansions involve higher-dimensional analogues of the integers, the n-dimensional pyramidal numbers, thereby showing both arithmetic and geometric connections.

Document Type: Research article

Publication date: 2006-11-01

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The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
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