Test for Convergence of a Geometric Series:
A geometric series with a common ratio r diverges if the absolute value of r is greater than or equal to 1. If the absolute value of r is between zero and 1 (non-inclusive) then the geometric series will converge to the sum a/(1-r).
Examples: Do the following geometric series converge or diverge? Click the link to below to see the example.
Flash Tutorial
The Bounds of a sequence
A sequence is bounded above if there is a number X that all terms of the sequence are less than or equal to, and a sequence is bounded below if there is a number Y that all the terms of the sequence are greater than or equal to.
Click on the link below to see an example of finding the bounds of a geometric series.
Flash Tutorial