Answer
$-\frac{1}{4},\frac{1}{16},-\frac{1}{64},\frac{1}{256},-\frac{1}{1024}$
Work Step by Step
$a_{n}=\frac{(-1)^{n}}{4^{n}}$
Substitute $1,2,3,4,5$ to $n$:
$a_{1}=\frac{(-1)^{1}}{4^{1}}=-\frac{1}{4}$
$a_{2}=\frac{(-1)^{2}}{4^{2}}=\frac{1}{16}$
$a_{3}=\frac{(-1)^{3}}{4^{3}}=-\frac{1}{64}$
$a_{4}=\frac{(-1)^{4}}{4^{4}}=\frac{1}{256}$
$a_{5}=\frac{(-1)^{5}}{4^{5}}=-\frac{1}{1024}$