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ERIC Number: EJ863626
Record Type: Journal
Publication Date: 2009
Pages: 13
Abstractor: As Provided
Reference Count: 7
ISSN: ISSN-0020-739X
Mathematical Induction, Difference Equations and Divisibility
McAndrew, Alasdair
International Journal of Mathematical Education in Science and Technology, v40 n8 p1013-1025 2009
Many exercises in mathematical induction require the student to prove a divisibility property of a function of the integers. Such problems are generally presented as being independent of each other. However, many of these problems can be presented in terms of difference equations, and the theory of difference equations can be used to provide a uniform method for creating such divisibility problems. This article shows how a multitude of such problems can be created, and how standard problems from textbooks can be analysed in terms of difference equations.
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A