Answer
$1,\ 1/2,\ 1/6,\ 1/24,\ 1/120,\ 1/720,\ 1/5040,\ 1/40320,$
$1/362880,\ 1/3628800$
Work Step by Step
$\left[\begin{array}{ll}
n & a_{n}\\ \\
1 & 1\\ \\
2 & 1/2\\ \\
3 & \frac{1/2}{3}=1/(3!)=1/6\\ \\
4 & \frac{1/(3!)}{4}=1/(4!)=1/24\\ \\
5 & \frac{1/(4!)}{5}=1/(5!)=1/120\\ \\
6 & \frac{1/(5!)}{6}=1/(6!)=1/720\\ \\
7 & \frac{1/(6!)}{7}=1/(7!)=1/5040\\ \\
8 & \frac{1/(7!)}{8}=1/(8!)=1/40320\\ \\
9 & \frac{1/(8!)}{9}=1/(9!)=1/362880\\ \\
10 & \frac{1/(9!)}{10}=1/(10!)=1/3628800
\end{array}\right]$