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CalculusEasyInfinite Sequences and Series

Infinite Sequences and Series · Easy problem

Find the sum of the series ∑n=0∞(−12)n=1−12+14−18+⋯\displaystyle\sum_{n=0}^{\infty}\left(-\frac12\right)^{n}=1-\frac12+\frac14-\frac18+\cdots.