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    IBEasySequences10–12

    A geometric series has first term 1818 and common ratio 13\frac{1}{3}. What is its sum to infinity?

    Uma série geométrica tem primeiro termo 1818 e razão 13\frac{1}{3}. Qual é a sua soma infinita?

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    Solution

    Step 1 of 2

    1. 1.S∞=a1−r=181−13=1823=27S_{\infty} = \frac{a}{1 - r} = \frac{18}{1 - \frac{1}{3}} = \frac{18}{\frac{2}{3}} = 27