Suppose that ak 0. Prove that k=1 ak converges if and only if the series k=1

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Suppose that ak → 0. Prove that ∑∞k=1 ak converges if and only if the series ∑∞k=1 (a2k + a2k+1) converges.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 04:06 AM

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Suppose that ak 0. Prove that k=1 ak converges if and only if the series k=1

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If sn n k1 a k converges then so does s ...View the full answer

An Introduction to Analysis

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