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Sum of a Geometric Series
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:
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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.
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Geometric sequences graphic representations. Sum of terms of a geometric sequence and geometric series.
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