Thinking Mathematically (6th Edition)

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

Chapter 1 - Problem Solving and Critical Thinking - Chapter Summary, Review, and Test - Review Exercises: 12

Answer

$2+4+8+16+32=64-2$

Work Step by Step

$2 = 4 - 2$ $2 + 4 = 8 - 2$ $2 + 4 + 8=16-2$ $2 + 4 + 8 + 16=32-2$ Using inductive reasoning, we can see that: Every next row has the same numbers on the left plus another to the right and is equal to the one on the left times two. Every next row has a number on the right that is twice the size of the one in the last row and has a “– 2” written next to it. This means that the next line is: $2+4+8+16+32=64-2$ To check if this is true, we perform the arithmetic: $2+4+8+16+32=62$ $64-2=62$ The equation is true.
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