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 6 - Exponential Functions and Sequences - Chapter Review - Page 350: 35

Answer

A recursive rule for the sequence is $a_1=3,a_n=a_{n-1}+5$

Work Step by Step

The given sequence is $3,8,13,18,23,...$ The first term is $a_1=3$. Calculate difference between each pair of consecutive terms. $8-3=5$ $13-8=5$ $18-13=5$ $23-18=5$ The common difference is $d=5$. So, the sequence is arithmetic. Recursive equation for an arithmetic sequence. $a_n=a_{n-1}+d$ Substitute $5$ for $d$. $a_n=a_{n-1}+5$ Hence, a recursive rule for the sequence is $a_1=3,a_n=a_{n-1}+5$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.