The series, ,
is a *geometric series*
and the summation

is called the
*geometric series summation* .

The summation can be solved as follows:
First, we make the simple variable substitution *i*=*j*-1:

Note that the summation which appears on the right is identical to the left hand side. Rearranging Equation , and simplifying gives

Copyright © 1997 by Bruno R. Preiss, P.Eng. All rights reserved.