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    IBMediumSequences10–12

    Infinite Geometric Series

    Série Geométrica Infinita

    Find the sum to infinity of the geometric series: 12 + 4 + \frac{4}{3} + \frac{4}{9} + \ldots

    S_\infty = \frac{a}{1 - r}, valid when |r| < 1.

    Solution

    Step 1 of 3

    1. 1.a = 12, r = \frac{4}{12} = \frac{1}{3}