Certain medical conditions are treated with a fixed dose of

Certain medical conditions are treated with a fixed dose of a drug administered at regular intervals. Suppose a person is given 2 mg of a drug each day and that during each 24-hr period, the body utilizes 40% of the amount of drug that was present at the beginning of the period.

(a) Show that the amount of the drug present in the body at the end of n days is

(b) What will be the approximate quantity of the drug in the body at the end of each day after the treatment has been administered for a long period of time?

 

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