A patient receives an 80 mg injection of a certain drug every 4 hours

MATHEMATICS · Single correct · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

A patient receives an 80 mg injection of a certain drug every 4 hours. At the end of each 4-hour period, 25\% of the drug remains in the bloodstream. To what limiting amount (in milligrams) does the quantity of the drug in the bloodstream approach just after an injection? (a) 64 mg64\ \text{mg} (b) 320 mg320\ \text{mg} (c) 106.7 mg106.7\ \text{mg} (d) 100 mg100\ \text{mg}

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