Answer
$a_{1}=0$, $\ \ a_{2}=\displaystyle \frac{1}{4}$, $\ \ a_{3}=0$,
$a_{4}=\displaystyle \frac{1}{32}$,
$a_{10}=\displaystyle \frac{1}{500}$
Work Step by Step
$a_{1}=\displaystyle \frac{(-1)^{1}+1}{1^{3}}=0$,
$a_{2}=\displaystyle \frac{(-1)^{2}+1}{2^{3}}=\frac{2}{8}=\frac{1}{4}$,
$a_{3}=\displaystyle \frac{(-1)^{3}+1}{3^{3}}=0$,
$a_{4}=\displaystyle \frac{(-1)^{4}+1}{4^{3}}=\frac{2}{64}=\frac{1}{32}$,
$a_{10}=\displaystyle \frac{(-1)^{10}+1}{10^{3}}=\frac{2}{1000}=\frac{1}{500}$
