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: 26

Answer

a) $1,3,2,-1,-3,-2,1,3,2,-1$ b) See graph

Work Step by Step

a) We calculate the first ten terms of the sequence $a_n=a_{n-1}-a_{n-2}$: $$\begin{align*} a_1&=1\\ a_2&=3\\ a_3&=a_2-a_1=3-1=2\\ a_4&=a_3-a_2=2-3=-1\\ a_5&=a_4-a_3=-1-2=-3\\ a_6&=a_5-a_4=-3-(-1)=-2\\ a_7&=a_6-a_5=-2-(-3)=1\\ a_8&=a_7-a_6=1-(-2)=3\\ a_9&=a_8-a_7=3-1=2\\ a_{10}&=a_9-a_8=2-3=-1. \end{align*}$$ b) Graph the first ten terms:
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