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: 140

Answer

\[-48\]

Work Step by Step

To find the fifth term put \[n=5\] in the above formula, to get: \[\begin{align} & {{a}_{5}}={{a}_{1}}{{r}^{5-1}} \\ & =\left( -3 \right)\cdot {{2}^{4}} \\ & =\left( -3 \right)\cdot 16 \\ & =-48 \end{align}\] The fifth term of the geometric sequence is\[-48\].
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