Cover Data Structures and Algorithms with Object-Oriented Design Patterns in Java
next up previous contents index

About Geometric Series Summation

 

The series, tex2html_wrap_inline57666, is a geometric series  and the summation

displaymath57664

is called the geometric series summation .

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

  eqnarray1017

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

  equation1035


next up previous contents index

Bruno Copyright © 1998 by Bruno R. Preiss, P.Eng. All rights reserved.