a person takes 100 mg of sertraline every day at the same time. before each dose, 67% of the drug remaning in the gut is passed to the blood. suppose on day 1 they take their first dose.

Question

write a recursive sequence describing the amount of drug in their gut after the nth dose.

Answer 1

sequence is 33 + (100 + 33)(.67) + (100+(100+33).67).67 + ...

a₁ = 33

subsequent days are (100+a_n-1)(.67)

You can define a₀=0 and this recursion still works.