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Visualising alternating geometric series
Published online by Cambridge University Press: 20 June 2025
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When first learning about geometric series, students often wonder why these series are termed 'geometric'. The geometry of some geometric series is readily apparent for some common series such as
$$\sum\limits_{n = 1}^\infty{\left( {\frac{1}{2}} \right)}^n = \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + ...{\text{ }}.$$
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- © The Authors, 2025 Published by Cambridge University Press on behalf of The Mathematical Association
References
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$\int_1^r {\frac{1}{x}dx}$
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