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Continued radicals

Published online by Cambridge University Press:  01 August 2016

Edward J. Allen
Edward J. Allen*
Affiliation:
Mathematics Department, University of North Carolina at Asheville, North Carolina, U.S.A.
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Extract

Expressions like

are known as continued radicals and they occur frequently in the mathematical literature, if only because of their orderly structure and their close links with continued fractions. But it’s worth bringing them out again here because they can make very interesting classroom exercises on sequences, and they lead to unusual ways of expressing π and the golden ratio, etc.

Type
Research Article
Information
The Mathematical Gazette , Volume 69 , Issue 450 , December 1985 , pp. 261 - 263
Copyright
Copyright © Mathematical Association 1985

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