Category:Geometric Series
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This category contains results about Geometric Series.
Definitions specific to this category can be found in Definitions/Geometric Series.
Let $\sequence {x_n}$ be a geometric sequence in $\R$:
- $x_n = a r^n$ for $n = 0, 1, 2, \ldots$
Then the series defined as:
- $\ds \sum_{n \mathop = 0}^\infty x_n = a + a r + a r^2 + \cdots + a r^n + \cdots$
is a geometric series.
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