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: 6

Answer

256

Work Step by Step

We are given the sequence $1, 4, 16, 64...$ Starting at 1, the pattern of this sequence is to multiply each subsequent term by 4. For example, $1\times4=4$ and $4\times4=16$. Therefore, the next number in this sequence is $64\times4=256$.
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