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

$a_{14}=-38$

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*}