Answer
$$-\frac{1}{5},\frac{1}{6},-\frac{1}{7},\frac{1}{8},-\frac{1}{9}$$
Work Step by Step
We plug in the different values of n to find the first 5 terms:
$$ a_1=\frac{(-1)^1}{1+4} = -\frac{1}{5} \\ a_2=\frac{(-1)^2}{2+4} = \frac{1}{6} \\ a_3=\frac{(-1)^3}{3+4} = -\frac{1}{7} \\ a_4=\frac{(-1)^4}{4+4} = \frac{1}{8} \\ a_5=\frac{(-1)^5}{5+4} = -\frac{1}{9} $$