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

$a_{n} = n \cdot (n + 1)!$

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

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

Multiply $((1) + 1)!$ by $1$ .

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

Add $1$ and $1$ .

$a_{1} = (2)!$

Expand $(2)!$ to $2 \cdot 1$ .

$a_{1} = 2 \cdot 1$

Multiply $2$ by $1$ .

$a_{1} = 2$