a-patient-receives-a-100-and-nbspmg100-text-mg-dose-of-a-medication-every-1212-h

Question

A patient receives a 100 mg100 	ext{ mg} dose of a medication every 1212 hours. The medication has a half-life of 1212 hours. Let mn m_n  be the amount of medication in the body after the n $$n ^{th}$$ dose, with m1=100 mg $$m_1 = 100$$ 	ext{ mg} . Provide the recurrence relation that models this situation.

Accepted Answer

m1=100m_1 = 100 mn+1=12mn+100m_{n+1} = \frac{1}{2} m_n + 100

Answer

m1=50m_1=50  mn+1=12mn+100m_{n+1}=\frac{1}{2}m_{n}+100

Answer

m1=100m_1=100  mn+1=12mn+50m_{n+1}=\frac{1}{2}m_{n}+50

Answer

m1=50m_1=50  mn+1=12mn+50m_{n+1}=\frac{1}{2}m_{n}+50