Random List By Rule

Hi Dynamians!

I want to create a random list of numbers between a min range and max range by a variable number where every item is greater than the previous one.

For instance if min range=0 and max range=1 and number=5, I want the list to be something like this

0, 0.1252 , 0,26477, 0,63473 , 0.94245, 1

What would be the best way?