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Name: Show that if the simple continued fraction expression of the rational
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Description: Show that if the simple continued fraction expression of the rational number α, α > 1, is [a0; a1,...,ak], then the simple continued fraction expression of 1/α is[0; a1,...,ak].

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Show that if the simple continued fraction expression of the rational number α, α > 1, is [a0; a1,...,ak], then the simple continued fraction expression of 1/α is[0; a1,...,ak].

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 52E

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