10. Each morning, a patient receives a 37 mg injection of an anti-inflammatory drug, and 20% of the drug remains in the body after 24 hours. Find the quantity in the body: (a) Right after the 3rd injection. (b) Right after the 6th injection. (c) In the long run, right after an injection. Use a geometric series. (d) In the long run, right after an injection, for a different drug such that 99 % remains in the patient after 24 hours.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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10. Each morning, a patient receives a 37 mg injection of an anti-inflammatory drug,
and 20% of the drug remains in the body after 24 hours.
Find the quantity in the body:
(a) Right after the 3rd injection.
(b) Right after the 6th injection.
(c) In the long run, right after an injection. Use a geometric series.
(d) In the long run, right after an injection, for a different drug such that
99 % remains in the patient after 24 hours.
Transcribed Image Text:10. Each morning, a patient receives a 37 mg injection of an anti-inflammatory drug, and 20% of the drug remains in the body after 24 hours. Find the quantity in the body: (a) Right after the 3rd injection. (b) Right after the 6th injection. (c) In the long run, right after an injection. Use a geometric series. (d) In the long run, right after an injection, for a different drug such that 99 % remains in the patient after 24 hours.
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