How do I prove that [tex]0.3333\ldots[/tex] is equal to [tex]\frac{1}{3}[/tex] using a geometric series?

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freckledspots · Answer

Please see explanation. ;

freckledspots · Answer

To prove that 0.3333 … = 3 1 ​ , we express it as an infinite series. By using the formula for the sum of a geometric series, we find that this series sums to 3 1 ​ . Therefore, 0.3333 … is indeed equal to 3 1 ​ . 
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How do I prove that [tex]0.3333\ldots[/tex] is equal to [tex]\frac{1}{3}[/tex] using a geometric series?

Answer (2)

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