Find the First Term a_n=(n!)/(n+1)

$a_{n} = \frac{n!}{n + 1}$

Step 1

Substitute in the value of $n$ to find the $n$ th term.

$a_{1} = \frac{(1)!}{(1) + 1}$

Step 2

Expand $(1)!$ to $1$ .

$a_{1} = \frac{1}{1 + 1}$

Step 3

Add $1$ and $1$ .

$a_{1} = \frac{1}{2}$