# Chapter 8, Sequences and Series - Chapter 8 Review - Exercises - Page 640: 16

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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