Question

Hiromi took a 250 mg dose of a pain killer before going to bed last night. Every hour, 6% of the drug is metabolized. Let an be the amount of the drug remaining in Hiromi’s body n hours after she swallowed it. Note: a0 = 250. Answer the following questions.

a. Write the first four terms of the sequence {an}. So, you are figuring out a1, a2, a3, and a4. You may give exact answers or answers rounded to the nearest hundredth.

b. Write an explicit formula for the terms of {an}. Do not give a recursive formula.

c. Determine whether {an} converges or diverges. If it converges, find the limit. Show your work.

Answer 1

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