Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 17

Answer

The first five terms are: $s_1= \dfrac{1}{3} \\ s_2=\dfrac{1}{2} \\ s_3=\dfrac{3}{5} \\s_4= \dfrac{2}{3} \\s_5 =\dfrac{5}{7}$

Work Step by Step

We are given that {$a_n$} $=\dfrac{n}{n+2}$ In order to determine the first five terms, we will have to substitute $n=1,2,3,4,5$ into the given sequence {$a_n$}: $s_1= \dfrac{1}{1+2}=\dfrac{1}{3} \\ s_2= \dfrac{2}{2+2}=\dfrac{1}{2} \\ s_3= \dfrac{3}{3+2}=\dfrac{3}{5} \\s_4= \dfrac{4}{4+2}=\dfrac{2}{3} \\s_5 = \dfrac{5}{5+2}=\dfrac{5}{7}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.