Find an explicit formula for f (n) if f (1) = 1 and f (n) = f

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Find an explicit formula for f (n) if f (1) = 1 and f (n) = f (n − 1) + 2n − 1 for n ≥ 2. Prove your result using mathematical induction.

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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:32 PM

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Find an explicit formula for f (n) if f (1) = 1 and f (n) = f

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We begin by computing fn for the first few values ...View the full answer

Discrete Mathematics and Its Applications

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