College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.2 - Arithmetic Sequences - 8.2 Exercises: 70

Answer

$\displaystyle \frac{15}{4}$

Work Step by Step

The harmonic mean of $a$ and $b$ is: $\displaystyle \frac{1}{\frac{\frac{1}{a}+\frac{1}{b}}{2}}$ We plug in $a=3$ and $b=5$: $\displaystyle \frac{1}{\frac{\frac{1}{3}+\frac{1}{5}}{2}}$ $\displaystyle \frac{1}{\frac{\frac{5}{15}+\frac{3}{15}}{2}}$ $\displaystyle \frac{1}{\frac{\frac{8}{15}}{2}}$ $\displaystyle \frac{1}{\frac{8}{15*2}}$ $\displaystyle \frac{1}{\frac{8}{30}}$ $\displaystyle \frac{1}{\frac{4}{15}}$ $\displaystyle \frac{15}{4}$
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