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: 31

Answer

$a_{n}=5n-7$

Work Step by Step

We are given: $-2, 3, 8, 13$, ... We see that the terms in the sequence go up by 5. Since the first term is $-2$, we must start by subtracting $7$: $a_1=5(1)-7$ $a_2=5(2)-7$ $a_3=5(3)-7$ $a_4=5(4)-7$ ... $a_{n}=5n-7$ Or: $a_{n}=-2+5(n-1)$
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