Answer
$a_n=\frac{n+2}{n!}$
Work Step by Step
$\frac{3}{1!},\frac{4}{2!},\frac{5}{3!},\frac{6}{4!},\frac{7}{5!},...$
$\frac{1+2}{1!},\frac{2+2}{2!},\frac{3+2}{3!},\frac{4+2}{4!},\frac{5+2}{5!},...$
$a_n=\frac{n+2}{n!}$
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