## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 11 - 11.2 - Arithmetic Sequences and Partial Sums - 11.2 Exercises - Page 786: 24

#### 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 $a_1=0,~~d=-\frac{2}{3}$: $a_n=0+(n-1)(-\frac{2}{3})=-\frac{2}{3}n+\frac{2}{3}=\frac{-2n+2}{3}$

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