Playing with Wigner's swallow, Baxter's dog and infinite series

A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the...

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Bibliographic Details
Published inInternational journal of mathematical education in science and technology Vol. 53; no. 10; pp. 2870 - 2878
Main Author McCartney, M.
Format Journal Article
LanguageEnglish
Published London Taylor & Francis 30.09.2022
Taylor & Francis Ltd
Subjects
Infinite series
Kinematics
Mathematics education
Recreational mathematics
Telescoping
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Summary:A well-known puzzle involving the repeated flying of a swallow between two cyclists is extended to investigate the effect of nonuniform speeds. The resulting generalizations provide examples that can be used in the context of the teaching aspects of the manipulation of infinite series, including the use of telescoping sums and products.
ISSN:0020-739X
1464-5211
DOI:10.1080/0020739X.2021.1986643