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ERIC Number: EJ1093389
Record Type: Journal
Publication Date: 2013
Pages: 8
Abstractor: ERIC
ISSN: ISSN-0819-4564
Geometric Series: A New Solution to the Dog Problem
Dion, Peter; Ho, Anthony
Australian Senior Mathematics Journal, v27 n1 p56-63 2013
This article describes what is often referred to as the dog, beetle, mice, ant, or turtle problem. Solutions to this problem exist, some being variations of each other, which involve mathematics of a wide range of complexity. Herein, the authors describe the intuitive solution and the calculus solution and then offer a completely new solution using the sum of a geometric series applied in an unexpected way. The remainder of the article deals with more subtle points which teachers might wish to discuss with the mathematically stronger students in their class.
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A