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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[69]= -------------------------------------
                           2
or in its InputForm:
*********)

    b[4]=(((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

****)

Thanks in advance,

Sergio
sergio_r at mail.com@mail.com


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