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 1060: 60

Answer

$a_n=2n+1$

Work Step by Step

We know that $a_n=a_1+(n-1) d$ Here, we have $a_{3}=a_1+2d=7; a_{8}=a_1+7d=17$ Thus,we have $a_1+7d-a_1-2d=17-7$ or, $5d=10 \implies d=2$ and $a_1=7-2(2)=3$ Now, $a_n=3+(n-1) (2)=2n+1$
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