Answer
$2,\ -1,\ -1/2,\ 1/2,\ -1,\ -2,\ 2,\ -1,\ -1/2,\ 1/2$
Work Step by Step
$\left[\begin{array}{ll}
n & a_{n}\\ \\
1.\ & 2\\ \\
2.\ & -1\\ \\
3.\ & \frac{-1}{2}= -\frac{1}{2} \\ \\
4.\ & \frac{-1/2}{-1}= \frac{1}{2} \\ \\
5.\ & \frac{1/2}{-1/2}= -1 \\ \\
6.\ & \frac{-1}{1/2}= -2 \\ \\
7.\ & \frac{-2}{-1}= 2 \\ \\
8.\ & \frac{2}{-2}= -1 \\ \\
9.\ & \frac{-1}{2}= -\frac{1}{2} \\ \\
10.\ & \frac{-1/2}{-1}= \frac{1}{2}
\end{array}\right]$