Data Structures and Algorithms with Object-Oriented Design Patterns in C#
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About Geometric Series Summation

 

The series, tex2html_wrap_inline57947, is a geometric series  and the summation

displaymath57945

is called the geometric series summation .

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

  eqnarray1023

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

  equation1041


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