College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.1 - Sequences and Summation Notation - 8.1 Exercises: 62

Answer

$0+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{2}}+\frac{\sqrt{3}}{\sqrt{5}}=0+\frac{\sqrt{3}}{3}+\frac{\sqrt{2}}{2}+\frac{\sqrt{15}}{5}$

Work Step by Step

We expand the sum: $\sum_{j=1}^{4}\sqrt{\frac{j-1}{j+1}}=\sqrt{\frac{0}{2}}+\sqrt{\frac{1}{3}}+\sqrt{\frac{2}{4}}+\sqrt{\frac{3}{5}}=0+\frac{1}{\sqrt{3}}+\frac{1}{\sqrt{2}}+\frac{\sqrt{3}}{\sqrt{5}}=0+\frac{\sqrt{3}}{3}+\frac{\sqrt{2}}{2}+\frac{\sqrt{15}}{5}$
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