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 5 Test - Page 338: 30

Answer

\[320\]

Work Step by Step

For the seventh term n = 7: \[\begin{align} & {{a}_{7}}={{a}_{1}}{{r}^{n-1}} \\ & =5{{\left( 2 \right)}^{7-1}} \\ & =5{{\left( 2 \right)}^{6}} \\ & =320 \end{align}\] Hence, the seventh term of the geometric sequence is\[320\].
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