# Chapter 11 - Section 11.1 - Sequences - Exercise Set: 31

$-\frac{1}{25}$

#### Work Step by Step

To calculate $a_n$, we plug in $n$ to the general formula. To calculate the result, we use PEMDAS (parentheses, exponentation, multiplication, division, addition, subtraction) to determine which operation is applied first. $a_{19} = \frac{(-1)^{19}}{19+6} = \frac{-1}{19+6} = -\frac{1}{25}$

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