matematicas visuales visual math

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:

Representation of a few terms of the geometric series of ratio 1/4 | matematicasvisuales
This convergent series of ration 1/4 sums 1/3 | matematicasvisuales

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

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