Factorial Expressions

Project ID: 
7100000015
Accepted: 
SubArea: 
Type: 
Layout: 
Question: 
Pair expressions with their simplified forms.
Question 1: 
$$\frac{(n-1)!}{(n+1)!}$$
Answer 1: 
$$\frac{1}{(n+1)\cdot n}$$
Question 2: 
$$\frac{(n+2)(n+1)!}{n!}$$
Answer 2: 
$$(n+2)(n+1)$$
Question 3: 
$$\frac{(n+2)!}{(n+2)(n+1)}$$
Answer 3: 
$$n!$$
Question 4: 
$$\frac{1}{n!}+\frac{1}{(n+1)!}$$
Answer 4: 
$$\frac{n+2}{(n+1)\cdot n!}$$
Question 5: 
$$\frac{(n+2)!}{(n+1)!}$$
Answer 5: 

$$n+2$$

Question 6: 
$$\frac{n+1}{(n+1)!}+\frac{n-1}{n!}$$
Answer 6: 
$$\frac{1}{(n-1)!}$$
Question 7: 
$$\frac{n+1}{(n+1)!}$$
Answer 7: 
$$\frac{1}{n!}$$
Question 8: 
$$\frac{n\cdot(n-1)!}{n!}$$
Answer 8: 
$$1$$
Question 9: 
$$\frac{1}{n!}-\frac{1}{(n-1)!}$$
Answer 9: 
$$\frac{1-n}{n!}$$