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Fibonacci power series

Published online by Cambridge University Press:  01 August 2016

Paul Glaister*
Affiliation:
Department of Mathematics, PO Box 220, University of ReadingRG6 2AX

Extract

A student usually first meets power series through an infinite geometric progression, having previously considered finite geometric progressions. In this note we consider a variation of this introductory material which involves the Fibonacci numbers. This necessarily poses various questions, e.g. ’When does the series converge and, if so, what is the sum?’. However, there is one further intriguing question that is natural to ask, and this leads to some interesting mathematics. All of this is appropriate for sixth formers, either for classroom discussion or as an exercise.

Type
Articles
Copyright
Copyright © The Mathematical Association 1995

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