Basic College Mathematics (10th Edition)

by Lial, Margaret L.; Salzman, Stanley A.; Hestwood, Diana L.

Published by Pearson

ISBN 10: 0134467795

ISBN 13: 978-0-13446-779-5

Appendix: Inductive and Deductive Reasoning - Appendix Exercises - Page A-5: 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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