Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.7 Arithmetic and Geometric Sequences - Exercise Set 5.7 - Page 329: 67


$-\frac{1}{16}, \frac{1}{4}, -1, 4, -16, 64$

Work Step by Step

Write the first six terms by multiplying by the common ratio $-4$ to get the next term. The problem tells us that we start at -1/16. $-\frac{1}{16}, \frac{4}{16}=\frac{1}{4}, -\frac{4}{4}=-1, 4, -16, 64$ Because we are multiplying by a negative, the terms alternate between negative and positive.
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