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 - Page 601: 23

Answer

a) $12,6,4,3,2.4,2,\dfrac{12}{7},1.5,\dfrac{4}{3},1.2$ b) See graph

Work Step by Step

a) We calculate the first ten terms of the sequence $a_n=\dfrac{12}{n}$: $$\begin{align*} a_1&=\dfrac{12}{1}=12\\ a_2&=\dfrac{12}{2}=6\\ a_3&=\dfrac{12}{3}=4\\ a_4&=\dfrac{12}{4}=3\\ a_5&=\dfrac{12}{5}=2.4\\ a_6&=\dfrac{12}{6}=2\\ a_7&=\dfrac{12}{7}\\ a_8&=\dfrac{12}{8}=1.5\\ a_9&=\dfrac{12}{9}=\dfrac{4}{3}\\ a_{10}&=\dfrac{12}{10}=1.2. \end{align*}$$ b) Graph the first ten terms:
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