# geometric series

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Related to geometric series: power series, Geometric sequence

## geometric series

[¦jē·ə¦me·trik ′sir·ēz]
(mathematics)
An infinite series of the form a + ar + ar 2+ ar 3+ ⋯.
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and for our sum of the geometric series A/1 - r we get:
We created a geometric series with sum A/1-r, in which [alpha] does not appear
Once again we can now do a geometric series with A = L/2 and r = 1/[square root of 2] to get the path length of this jagged spiral to be
Similar trends were found with regard to the relative abundance distributions of families and FFG: both taxonomic units fitted the stochastic normal and geometric series models best, while FFG also fitted the random fraction model.
In general, a geometric series is the sum of the terms of the geometric sequence:
In the geometric series, the first term shows a = 1.
The geometric series is very useful for converting a binary number into a decimal number.
The geometric series (Motomura, 1932) was proposed for benthos communities in lakes.
The resulted SAD vary from uneven patters like the geometric series to extreme even ones similar to the broken-stick model (Figure 3).
It is a stochastic model whose expected pattern after several simulations, corresponds to the geometric series with k = 0.
The problem is interesting, because there are close relationship between the Smarandache multiplicative sequence and the geometric series.

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