Concept explainers
Finding steady states through sequences Suppose you take 100 mg of aspirin once per day. Assume the aspirin has a half-life of one day; that is, every day, half of the aspirin in your blood is eliminated. Assume dn is the amount of aspirin in your blood after the nth dose, where d1 = 100.
- a. Find a recurrence relation for the sequence {dn}.
- b. Assuming the sequence {dn} converges, find the long-term (steady-state) amount of aspirin in your blood.
41. Finding steady states using infinite series Solve Exercise 40 by expressing the amount of aspirin in your blood as a geometric series and evaluating the series.
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