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: 22

Answer

$1$

Work Step by Step

The lower limit of $j$ is $0$ and the upper limit is also $4$. Thus, evaluate the given products from $j=0$ to $j=4$ to obtain: $=(-1)^0 \cdot (-1) \cdot (-1)^2 \cdot (-1)^3 \cdot (-1)^4 \\=1 \cdot (-1) \cdot 1 \cdot (-1) \cdot 1$ Multiply two factors at a time to obtain: $\\=-1 \cdot 1 \cdot (-1) \cdot 1 \\=-1 \cdot (-1) \cdot 1 \\=1 \cdot 1 \\=1$
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