Given:
[tex]a_n=\frac{n^2}{n!}[/tex]
Then, the fifth term is n = 5, so:
[tex]a_5=\frac{5^2}{5!}[/tex]
Solving:
[tex]a_5=\frac{5\times5}{5\times4\times3\times2\times1}=\frac{25}{120}[/tex]
Simplify:
[tex]a_5=\frac{5}{24}[/tex]
Answer:
[tex]a_{5}=\frac{5}{24}[/tex]
