College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Review Exercises - Page 789: 28

Answer

See below.

Work Step by Step

a) The nth term of an arithmetic sequence can be obtained by the following formula: $a_n=a_1+(n-1)d$, where $a_1=34.5+0.3=34.8$ is the first term and $d=-0.3$ is the common difference, thus $a_n=34.8+(n-1)(-0.3)=35.1-0.3n$ b) Using the formula and that $n=2020-1964=56$, $a_n=35.1-0.3\cdot56=35.1-16.8=18.3$
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