Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.2 - Arithmetic Sequences - Exercise Set - Page 1059: 33

Answer

General equation is: $a_n=30+(-10)(n-1)$ and $a_{20}=-160$

Work Step by Step

Formula to calculate the nth term of an arithmetic sequence is: $a_n=a_1+d(n-1)$ Here, $a_1: $ First term and $d=$ common difference Since, we have $a_1=30$ Then, our General equation is: $a_n=30+(-10)(n-1)$ $a_{20}=30+(-10)(20-1)=30-190=-160$
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