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Geometric Sequenceshard
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Given ∑n=0∞rn=4\sum_{n=0}^{\infty} r^n = 4∑n=0∞​rn=4, what is ∑n=0∞rn⋅(−1)n\sum_{n=0}^{\infty} r^n \cdot (-1)^n∑n=0∞​rn⋅(−1)n?