Trying to get closed form solution to simple recurrence.

*To*: mathgroup at smc.vnet.net*Subject*: [mg100017] Trying to get closed form solution to simple recurrence.*From*: negatron <lokieffect at gmail.com>*Date*: Fri, 22 May 2009 01:42:02 -0400 (EDT)

Product[(100 - n)/100, {n, 1, x}] ((100!/(100 - (x + 1))!)*(1/100)^(x + 1)) So the two above are equivalent (perhaps the second can do with less brackets). What I'm trying to figure out is how to get Mathematica to solve such a problem. That is, input the first expression and get the second. I'm aware of the RSolve function and I've used it in the past, but I can't seem to figure out a way how to express this properly, or more likely it doesn't look like such a problem can be solved by this particular function. Is such a thing solvable by any function in Mathematica?

**Follow-Ups**:**Re: Trying to get closed form solution to simple recurrence.***From:*Daniel Lichtblau <danl@wolfram.com>