## Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning

# Chapter 5 - Sequences, Mathematical Induction, and Recursion - Exercise Set 5.2 - Page 256: 5

#### Answer

$a. 1^{2}$ $b. k^{2}$ $c. 1 + 3 +5 + ... + [2(k+1)-1]$ $d. (k+1)^{2}$ $e.$ the odd integer just before $2k+1$ is $2k-1$ $f.$ inductive hypothesis

#### Work Step by Step

Fill the answers with inductive step by using proof by mathematical induction.

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