1. For a certain drug to have the desired healing effect and be safe, the amount in a
person's system should be between 60 and
70 micrograms. After 6 hours, the amount
of a dosage of the drug left in the body is
70% of the original dosage. Each dosage
of the drug delivers 20 micrograms to the
body.
a. Assume a person receives one dosage of
the drug every six hours. Write a
geometric series representing the amount
of the drug in a person's system after n
dosages.
b. When (if ever) would the amount of the
drug in a person's system be greater than
60 micrograms?