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