Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Appendix: Inductive and Deductive Reasoning - Appendix Exercises: 4

Answer

17

Work Step by Step

We are given the sequence $3, 9, 7, 13, 11...$ Starting at 3, the pattern of this sequence is to add 6 to get the next number and then subtract 2 to get the following number. Then, the pattern repeats. For example, $3+6-2=7$ and $7+6-2=11$. Therefore, the next number in this sequence is $11+6=17$.
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