It is important to try to sum a geometric series.

When the ratio is bigger than 1 the general term get bigger and bigger and the series do not converge.

When the ratio is less than 1, this series converge and its sum is:

Here we are going to study a particular case, when the ratio is:

Then, this series can be represented in this manner:

Then, the sum of this geometric series of ration 1/4 is:

LINKS

	Sum of a geometric series of ratio 1/2 The geometric series of ratio 1/2 is convergent. We can represent this series using a rectangle and cut it in half successively. Here we use a rectangle such us all rectangles are similar.
	Integral of powers
	Geometric sequence Geometric sequences graphic representations