Answer
$a_n=\frac{-2n+2}{3}$
Work Step by Step
The $nth$ term of an arithmetic sequence is given by:
$a_n=a_1+(n-1)d$
If $a_1=0,~~d=-\frac{2}{3}$:
$a_n=0+(n-1)(-\frac{2}{3})=-\frac{2}{3}n+\frac{2}{3}=\frac{-2n+2}{3}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 11 - 11.2 - Arithmetic Sequences and Partial Sums - 11.2 Exercises - Page 786: 24
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