Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 4 - Writing Linear Functions - Chapter Review - Page 228: 15

Answer

$a_{n}=12-n$ $a_{30}=12-30=-18$

Work Step by Step

The first term is $11$ and the common difference is $-1$. Equation for an arithmetic sequence is $a_{n}=a_{1}+(n-1)d $ where $a_{1}$ is the first term and $d$ is the common difference. $a_{n}=11+(n-1)(-1)$ $a_{n}=11+(1-n)=12-n$ $a_{30}=12-30=-18$
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