Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - 9-1 Mathematical Patterns - Lesson Check: 4

Answer

$a_{n}=3n+2$

Work Step by Step

The sequence starts with $a_{1}=5=3+2$ So then $a_{2}=5+3=3+3+2=3*2+2$ $a_{3}=8+3=3+3+3+2=3*3+2$ $a_{4}=11+3=3+3+3+3+2=3*4+2$ etc... Note that the first part number being multiplied to $3$ is the same as the term number. Thus, if $n$ is the term number, then the explicit formula is $a_{n}=3n+2$
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