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Infinite Seriesmedium
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A water treatment facility models the concentration of a pollutant that decreases each day by a factor of 0.8. On day 1, the pollutant level is 100 mg/L. The cumulative pollutant removed over all days is: ∑n=1∞100⋅(0.8)n−1⋅0.2\sum_{n=1}^{\infty} 100 \cdot (0.8)^{n-1} \cdot 0.2∑n=1∞​100⋅(0.8)n−1⋅0.2. What is the total pollutant removed (in mg/L)?