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 - Chapter Summary, Review, and Test - Review Exercises - Page 337: 138



Work Step by Step

To find the fourth term put \[n=4\] in the above formula, to get: \[\begin{align} & {{a}_{4}}={{a}_{1}}{{r}^{4-1}} \\ & =2\cdot {{3}^{3}} \\ & =2\cdot 27 \\ & =54 \end{align}\] The fourth term of the geometric sequence is\[54\].
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