Question

1+1/3+1/3^2+1/3^3+..​

Answer 1

Answer:

$\frac{40}{27}$

Step-by-step explanation:

$1 + \frac{1}{3} + \frac{1}{3^{2} } + \frac{1}{ {3}^{3} } \\ = 1 + \frac{1}{3} + \frac{1}{9} + \frac{1}{27} \\ = \frac{27 + 9 + 3 + 1}{27} \\ = \frac{40}{27}$

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