Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 12 - Sequences; Induction; the Binomial Theorem - 12.2 Arithmetic Sequences - 12.2 Assess Your Understanding - Page 814: 26



Work Step by Step

We know that $a_n=a_1+(n-1)d.$ where $d$=common difference and $a_1$= the first term Here $a_1=-1$ and $d=a_2-a_1=1-(-1)=2$ Hence, here we have $a_n=-1+(n-1)\cdot2.$ Therefore $a_{80}=-1+(80-1)\cdot2\\=157.$
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