On the representation of certain reals via the golden ratio

Publisher:
Fibonacci Association
Publication Type:
Journal Article
Citation:
The Fibonacci Quarterly, 2010, 48 (2), pp. 150 - 160
Issue Date:
2010-01
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Taking the reciprocal of the golden ratio and summing its non-negative integer powers, we obtain a series that converges. We then consider series obtained by striking out terms of this series, proving key theorems about them and the real numbers to which hey converge. Finally, we preassign two-parameter families of real numbers related to the Fibonacci numbers and give their series expansions.
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