A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Justbefore each tablet is taken, 20% of the drug remains in the body.(a) How much of the drug is in the body just after the second tablet is taker ?After the third tablet?(b) If Qn is the quantity of the antibiotic in the body just after the nth tablet istaken, find an equation that expresses Qn +1is terms of Qn.(c) What quantity of the antibiotic remains in the body in the long run?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter2: Equations And Inequalities
Section: Chapter Questions
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A doctor prescribes a 100-mg antibiotic tablet to be taken every eight hours. Just
before each tablet is taken, 20% of the drug remains in the body.
(a) How much of the drug is in the body just after the second tablet is taker ?
After the third tablet?
(b) If Qn is the quantity of the antibiotic in the body just after the nth tablet is
taken, find an equation that expresses Qn +1
is terms of Qn.
(c) What quantity of the antibiotic remains in the body in the long run?

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