10.1 GEOMETRIC SERIES
Repeated Drug Dosage
Malaria is a parasitic infection transmitted by mosquito bites, mainly in tropical areas of the world. The disease has existed since ancient times, and currently there are hundreds of millions of cases each year, with millions of deaths. In the 1640s, the Jesuits in Peru introduced the bark of the cinchona tree to the West as the first treatment for malaria. The drug quinine is the active ingredient in the bark, and it is still used today.
Suppose a person is given a 50-mg dose of quinine at the same time every day for the treatment of malaria. After the first dose, the person has ...