geometric series



Yes, Maxima by default does not look for closed forms of sums.

Try using simpsum, e.g.

            s: sum((1+r)^-t,t,1,n)$
            ev(s,simpsum) => ((r+1)^(-n-1)-1/(r+1))/(1/(r+1)-1)

You can then change the form of that using factor, ratsimp, etc.

A more powerful simplifier for sums is simplify_sum, e.g.

           load(simplify_sum)$
           simplify_sum(s) =>  ...same thing...

For more info, try

   ? simpsum

and

   ? simplify_sum

         -s

On Thu, Mar 13, 2008 at 4:56 AM, klswacha <cwrward at gmail.com> wrote:
>  In Maxima, if one enters sum((1+r)^-t,t,1,n), the result is given as the
>  Summation sign 1/(r+1)^t correctly. BUT how does one obtain the closed form
>  solution to such series?