Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.3 - Page 267: 31

Answer

See below.

Work Step by Step

In the proof of the exercise, it failed to show the initial prove, that is we need to firstly prove that $P(n)$ is true for $n=1$. Let $n=1$, we have $3^1-2=1$ which is not even, thus the statement is not true.
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