Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.4 - Mathematical Induction - 11.4 Exercises - Page 807: 78



Work Step by Step

If we have a sequence with $n$ terms, (e.g. $2,3,4,5$, $n=4$), then we have $n-1=3$ differences: $5-4=4-3=3-2=1$ and $n-2=2$ second differences: $(5-4)-(4-3)=(4-3)-(3-2)=0$. Thus the statement is false.
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