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: 53

Answer

555,555 yes

Work Step by Step

$\underline{Inductive\ Reasoning}$ Each result in the sequence is a 6-digit number where each position contains the same value. That value is one greater than used in the prior result. We therefore induce that the next result will be 555,555. $\underline{Check\ Computation}$ Each computation in the sequence is a product., The first factor is 32 greater than the first factor in the prior item in the sequence. Therefore the first factor in the next item in the sequence is $132+33=165$. The second factor is 3367. The next computation in the sequence is $165\times3367=555,555$ This result agrees with the result derived by inductive reasoning.
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