       Help on Collecting Integers

• To: mathgroup at smc.vnet.net
• Subject: [mg91622] Help on Collecting Integers
• From: sergio_r at mail.com
• Date: Fri, 29 Aug 2008 04:25:21 -0400 (EDT)

```Hello Mathematica users,

(*****
After an iterative process, I am obtaining the following expression

a0 + b0
------- + c0
a0 + b0        a0 + b0      2
------- + c0   ------- + ------------
2              2           2
------------ + ----------------------
2                   2
Out= -------------------------------------
2
or in its InputForm:
*********)

b=(((a0 + b0)/2 + c0)/2 + ((a0 + b0)/2 + ((a0 + b0)/2 + c0)/2)/
2)/2

(****
In order to analyze the fractional sequence of the symbols a0, b0, and
c0 (for instance to see if the iterative process leads to a convergent
sum), I am wondering if I could use Mathematica to
Collect the terms corresponding to a0, b0, and c0 in the
form (I did this by hand from the previous expression):

1   1   1            1   1   1            1   1
a0 (- + - + --) + b0 (- + - + --) + c0 (- + -)
8   8   16           8   8   16         4   8

****)