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 1 Test - Page 45: 7


See below.

Work Step by Step

a) $(4(1)+8)/2−4=2$ $(4(2)+8)/2−4=4$ $(4(3)+8)/2−4=6$ $(4(4)+8)/2−4=8$ $(4(5)+8)/2−4=10$ Conjecture: the result is the original number's double. b) Proof: for any $n$, the procedure is as follows: $n$, then $4n$, then $4n+8$, then $(4n+8)/2=2n+4$, then $(2n+4)−4=2n$, thus we always get back the original number's doible.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.