College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Chapter 8 Review - Exercises: 16

Answer

arithmetic sequence $a_5=5\sqrt{2}$

Work Step by Step

We are given: $\sqrt{2}, 2\sqrt{2}, 3\sqrt{2}, 4\sqrt{2}$, ... We can see that this is an arithmetic sequence because the values go up consistently by $d=\sqrt{2}$. Thus the 5th term is: $a_5=a_4+\sqrt{2}=4\sqrt{2}+\sqrt{2}=5\sqrt{2}$
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