Answer
$\displaystyle \frac{1}{2},\ \displaystyle \frac{1}{6},\ \displaystyle \frac{1}{24},\ \displaystyle \frac{1}{120},\ \displaystyle \frac{1}{720},\ \displaystyle \frac{1}{5040}$
Work Step by Step
$a_{1}=1, \qquad a_{n}=\displaystyle \frac{a_{n-1}}{n}$
$a_{2}=\displaystyle \frac{a_{1}}{2}=\frac{1}{2}$,
$a_{3}=\displaystyle \frac{a_{2}}{3}=\frac{1}{3(2)}=\frac{1}{6}$,
$a_{4}=\displaystyle \frac{a_{3}}{4}=\frac{1}{4(6)}=\frac{1}{24}$,
$a_{5}=\displaystyle \frac{a_{4}}{5}=\frac{1}{5(24)}=\frac{1}{120}$,
$a_{6}=\displaystyle \frac{a_{5}}{6}=\frac{1}{6(120)}=\frac{1}{720}$,
$a_{7}=\displaystyle \frac{a_{6}}{7}=\frac{1}{7(720)}=\frac{1}{5040}$
