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 330: 102


The sequence is geometric because the terms have a common ratio of $2$. The next two terms are $240$ and $480$.

Work Step by Step

Recall: The terms of an arithemtic sequence has a common differnce while the terms of a geometric sequence has a common ratio. Notice that the next term in the sequence is twice the previous term. This means that the the sequence is geometric with a common ratio of $2$. Thus, the next two terms of the sequence can be found by multiplying $2$ to the previous term. Hence, the next two terms are: $120 \times 2 = 240\\ 240 \times 2 = 480$
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