Thinking Mathematically (6th Edition)

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

Chapter 5 - Number Theory and the Real Number System - Chapter Summary, Review, and Test - Review Exercises - Page 336: 132



Work Step by Step

Recall: The $n^{th}$ term ($a_n$) of an arithmetic sequence is given b the formula: $a_n=a_1+(n-1)d$ where $d$=common difference $a_1$=first term. Thus, for the given arithmetic sequence, \begin{align*} a_{14}&=a_1+(14-1)d\\ a_{14}&=14+(13)(-4)\\ a_{14}&=14-52\\ a_6&=-38 \end{align*}
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