Prove that 12 + 32 + 52 + + (2n + 1)2 = (n + 1)

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Prove that 12 + 32 + 52 +· · ·+ (2n + 1)2 = (n + 1) (2n + 1)(2n + 3)/3 whenever n is a nonnegative integer.

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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 12:28 PM

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Prove that 12 + 32 + 52 + + (2n + 1)2 = (n + 1)

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We proceed by induction The basis step n 0 is true since 1 2 11 33 For the inductive step assume ...View the full answer

Discrete Mathematics and Its Applications

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