recurrence relation for the sequence {dn} that gives the amount of drug in the blood after the nth dose, where d₁ = 70. 1 n+1 = 2% +70 n+1=2dn-70 1 n+1=2n-140 n+1=2dn + 140 a calculator, determine the limit of the sequence. In the long run, how much drug is in the person's blood? Confirm the result by finding the limit of the sequence directly. e correct choice below and, if necessary, fill in the answer box to complete your choice. The limit of the sequence is mg The limit does not exist.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Many people take a certain pain medication as a preventative measure for heart disease. Suppose a person takes 70 mg of the medication every 24 hr. Assume also that the
medication has a half-life of 24 hr; that is, every 24 hr half of the drug in the blood is eliminated. Complete parts a. and b. below.
a. Find recurrence relation for the sequence {d} that gives the amount of drug in the blood after the nth dose, where d₁ = 70.
O A. dn+1=dn +70
O B. dn+1=2dn - 70
1
OC. dn+1=dn-140
O D. dn+1=2dn + 140
b. Using a calculator, determine the limit of the sequence. In the long run, how much drug is in the person's blood? Confirm the result by finding the limit of the sequence directly.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The limit of the sequence is
mg.
O B. The limit does not exist.
Transcribed Image Text:Many people take a certain pain medication as a preventative measure for heart disease. Suppose a person takes 70 mg of the medication every 24 hr. Assume also that the medication has a half-life of 24 hr; that is, every 24 hr half of the drug in the blood is eliminated. Complete parts a. and b. below. a. Find recurrence relation for the sequence {d} that gives the amount of drug in the blood after the nth dose, where d₁ = 70. O A. dn+1=dn +70 O B. dn+1=2dn - 70 1 OC. dn+1=dn-140 O D. dn+1=2dn + 140 b. Using a calculator, determine the limit of the sequence. In the long run, how much drug is in the person's blood? Confirm the result by finding the limit of the sequence directly. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The limit of the sequence is mg. O B. The limit does not exist.
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