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Geometric series
Sum of an (infinite) geometric progression
Geometric series
In mathematics, a geometric series is a series summing the terms of an infinite geometric sequence, in which the ratio of consecutive terms is constant. For example, the series 1 2 + 1 4 + 1 8 + ⋯ {\displaystyle {\tfrac {1}{2}}+{\tfrac {1}{4}}+{\tfrac {1}{8}}+\cdots } is a geometric series with common ratio 1 2 {\displaystyle {\tfrac {1}{2}}} , which converges to the sum of 1 {\displaystyle 1} . Each term in a geometric series is the geometric mean of the term before it...
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