How do I get the quotient for numbers for all the numbers from a to b?

Question

An equation that will tell me:

a/(a+1)/(a+2)...(a+n)

For example

If a=7 and b=13
The equation I want would give me 7/8/9/10/11/12/13

Answer 1

It depends on how you want to associate the divisions. Let us simplify your example, take a = 7, b = 9.

Then you would write 7/8/9. By this do you mean:

(7/8)/9 = 7/72

or

7/(8/9) = 63/7 ?

In the first case, the answer will always be:

a/(b!/a!).

In the second case, for n odd the answer is:

[a*(a+2)*...*(a+n-1)]
----------------------------
[(a+1)*(a+3)*...*(a+n)]

and if n is even the answer is:

[a*(a+2)*...*(a+n)]
--------------------------------
[(a+1)*(a+3)*...*(a+n-1)].

Answer 2

Sounds like a job for a computer language such as Visual Basic.

Answer 3

(a)(a!)/b!