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Geometric Sequenceshard
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A sequence ana_nan​ has an=rna_n = r^nan​=rn. If ∑n=0∞an=5\sum_{n=0}^{\infty} a_n = 5∑n=0∞​an​=5, what is ∑n=0∞an3\sum_{n=0}^{\infty} a_n^3∑n=0∞​an3​?