Solve the problem.A patient takes 100 mg of medication every 24 hours. 80% of the medication in the blood is eliminated every 24 hours.a. Let dn equal the amount of medication (in mg) in the blood stream after n doses, where d1 = 100. Find a recurrence relation for dn.b. Show that 
is monotonic and bounded, and therefore converges.c. Find the limit of the sequence. What is the physical meaning of this limit?
A. a. dn + 1 = 0.2dn + 100, d1 = 100
b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size.
c. 150; in the long run there will be approximately 150 mg of medication in the blood.
B. a. dn + 1 = 0.2dn + 100, d1 = 100
b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size.
c. 125; in the long run there will be approximately 125 mg of medication in the blood.
C. a. dn + 1 = 0.8dn + 100, d1 = 100
b. dn satisfies 0 ? dn ? 150 for n ? 1 and its terms are increasing in size.
c. 150; in the long run there will be approximately 150 mg of medication in the blood.
D. a. dn + 1 = 0.8dn + 100, d1 = 100
b. dn satisfies 0 ? dn ? 125 for n ? 1 and its terms are increasing in size.
c. 125; in the long run there will be approximately 125 mg of medication in the blood.
Answer: B
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