Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 1 - Problem Solving and Critical Thinking - 1.1 Inductive and Deductive Reasoning - Exercise Set 1.1 - Page 11: 24

Answer

$\frac{1}{16}$

Work Step by Step

$\frac{1}{1}$,$\frac{1}{2}$,$\frac{1}{4}$,$\frac{1}{8}$ In the above pattern, denominator of the next fraction is obtained by multiplying the previous fractions denominator by 2 So, next number is $\frac{1}{8 * 2}$ = $\frac{1}{16}$
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