Answer
$-\frac {2}{5}, \frac {4}{25}, -\frac {8}{125}, \frac {16}{625}, -\frac {32}{3125}$
Work Step by Step
Take the values of the sequence when $n=1,2,3,4,5$.
$a_{1}=(-\frac{2}{5})^{1}= -\frac {2}{5}$
$a_{2}=(-\frac{2}{5})^{2} = \frac {4}{25}$
$a_{3}=(-\frac{2}{5})^{3}=-\frac {8}{125}$
$a_{4}=(-\frac{2}{5})^{4}=\frac {16}{625}$
$a_{5}=(-\frac{2}{5})^{5}=-\frac {32}{3125}$
