Geometric Series
A geometric series is the sum of the terms of a geometric sequence. General form of a geometric series is given by:
Sum of the first n terms of a geometric series is given by:
Example: Find the sum of the first 10 terms of the following geometric series:
For the above geometric series the common ratio is:
Using the formula for the sum of the series we find:
Example: Find the sum of the first n terms of the following geometric series:
We can find the common ratio for this series:
The nth term of the series is:
We can solve the above equation to find the number of terms of the series:
In the above equation we used 
Therefore, the series has twelve terms. So, we find:
