Drug administration, Mathematics

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A drug is administrated once every four hours. Let D(n) be the amount of the drug in the blood system at the nth interval. The body eliminates a certain fraction p of the drug during each time interval. If the amount administrated is D0, find D(n) and limn→∞ D(n). Then assuming the initial values D(0) = 2 and p =0.25 find the solution.

 


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