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 Home Mathematics Mathematical proofs Articles containing proofs Geometric series
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We can represent the series \( S = \frac{1}{2} - \frac{1}{4} + \frac{1}{8} - \frac{1}{16} + \cdots \) more clearly by recognizing it as an infinite geometric series. ### Step 1: Identify the First Term and the Common Ratio The first term \( a \) of the series is \( \frac{1}{2} \).

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