Question

$\frac{(n+2!)}{(n+1)!} =?$

Answer 1

$\rm \frac{(n+2)!}{(n+1)!}=\frac{(n+1)!*(n+2)}{(n+1)!}=n+2$

Answer 2

$(n+2)!=1\cdot2\cdot3\cdot .... \cdot (n+2)\\ \\ (n+1)!=1\cdot2\cdot3\cdot .... \cdot (n+1)\\ \\ \\ \\ \frac{(n+2)!}{(n+1)!}=\frac{(n+1)!\cdot (n+2)}{(n+1)!}=\\ \\=\frac{n+2}{1}=n+2\\ \\ \\ \\ ( \frac{(n+2)!}{(n+1)!}=\frac{1\cdot2\cdot3\cdot .... \cdot (n+1)\cdot (n+2)}{1\cdot2\cdot3\cdot .... \cdot (n+1)}=n+2)$