Algebra 2 Common Core

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

Chapter 9 - Sequences and Series - Mid-Chapter Quiz - Page 579: 8

Answer

$a_1 = 1$, $a_n = a_{n - 1} + 3$

Work Step by Step

In a recursive formula, we need to give the initial condition, $a_1$, which is the first item in the sequence: $a_1 = 1$ To find the recursive formula of the sequence, we must first find the pattern. In this exercise, $a_n$ is found by adding $3$ to the previous term, $a_{n - 1}$: $a_n = a_{n - 1} + 3$
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