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Find the sum of the series
1 + \frac{1}{2} + \frac{1}{10} + \frac{1}{30} + \frac{1}{60} + ,..
where we alternately multiply by $\frac 12$ and $\frac 15$ and $\frac{1}{3}$ to get successive terms.

 
 Mar 4, 2025

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