Question break down:

-patient takes one pill before 8am

-drug has entered the bloodstream by 8am

-at 8am the blood concentration of the drug is 33.8 ng/ml

-Adderall has first order elimination kinetics(7) with 7.7% of the drug being removed from the blood every hour .

4 (a) The concentration of the drug in the patient's blood t hours after 8am is measured to be Ct. Develop a recursive relation of Ct+1 in terms of Ct. What happens in the long run to the amount of Adderall in the system?

Could you please explain how to develop a recursive relation and what it is? I think that Adderall in the system would decrease over a long period of time?

(b) Work out your recurrence equation to derive an explicit formula for Ct as a function of t. When does the concentration of drug first drop below 0.1 ng/ml?