Prove that the sum of the cubes of three consecutive integers is divisible by 9.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 09:01 AM

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Prove that the sum of the cubes of three consecutive integers is divisible by 9.

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Proof Let nn l and n 2 be three consecutive integers Then n 3 n l 3 n 2 3 n 3 n 3 3n 2 3n 1 n ...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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