Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Sections 11.1-11.3 - Integrated Review - Sequences and Series - Page 653: 2

Answer

$\left\{ \dfrac{7}{2},\dfrac{7}{3}, \dfrac{7}{4}, \dfrac{7}{5},\dfrac{7}{6} \right\}$

Work Step by Step

Given that $ a_n=\dfrac{7}{1+n} $, then the first 5 terms are \begin{array}{l} a_1=\dfrac{7}{1+1}\\ a_1=\dfrac{7}{2} ,\\\\ a_2=\dfrac{7}{1+2}\\ a_2=\dfrac{7}{3} ,\\\\ a_3=\dfrac{7}{1+3}\\ a_3=\dfrac{7}{4} ,\\\\ a_4=\dfrac{7}{1+4}\\ a_4=\dfrac{7}{5} ,\\\\ a_5=\dfrac{7}{1+5}\\ a_5=\dfrac{7}{6} .\end{array} Hence, the first 5 terms are $ \left\{ \dfrac{7}{2},\dfrac{7}{3}, \dfrac{7}{4}, \dfrac{7}{5},\dfrac{7}{6} \right\} $.
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