EasyCalculus & Linear AlgebraAcceptance 86%

Geometric Series

Goldman Sachs

What is the sum 1+13+19+127+⋯1 + \tfrac13 + \tfrac19 + \tfrac1{27} + \cdots?

Approach

Use 11−r\frac{1}{1-r} for ∣r∣<1|r|<1.

Answer

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