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: 16

Answer

$a_{n}=6n$ $a_{30}=180$

Work Step by Step

The first term is $6$ and the common difference is $12-6=6$. 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. $a_{n}=6+(n-1)(6)$ $a_{n}=6+6n-6=6n$ $a_{30}=6(30)=180$
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