# geometric series

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## geometric series

n.
A series whose terms form a geometric progression, such as a + ax + ax2 + ax3 + ....

## geometric series

n
(Mathematics) a geometric progression written as a sum, as in 1 + 2 + 4 + 8

## ge′omet′ric se′ries

n.
1. an infinite series of the form, c + cx + cx2 + cx3 + …, where c and x are real numbers.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 geometric series - a geometric progression written as a sumseries - (mathematics) the sum of a finite or infinite sequence of expressions
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This is easily proven by using an infinite geometric series.
By summing the infinite computation steps, we get an infinite geometric series such as 1 + 1/2 + 1/4 + .
For a repeating pentimal, the repeating part can be summed as an infinite geometric series where the common ratio is in the form

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