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 5.1 - Page 243: 45

Answer

$$\prod_{k=2}^{4} (k^2-1)$$

Work Step by Step

The sequence involves a product so product notation will be used. The factors are of the form $(k^2-1)$ where $k$ is counting number. $k$ varies from 2 to 4. Thus, the product notation whose expanded form is given is: $$\prod_{k=2}^{4} (k^2-1)$$
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