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  • Algebra Solutions

    Topics || Problems

    What is the sum of the infinite geometric series of 1, -1/5, 1/25, ...?
    Solution

    \(r = \frac{-1/5}{1} = \frac{-1}{5}\)

    \(S_g = \frac{a_1}{1-r}\)

    \(S_g = \frac{1}{1+1/5}\)

    \(S_g = \frac{5}{6}\)