Medicine
In pharmacokinetic which is the study of how a drug is absorbed, distributed, metabolized, and excreted by the body, geometric progression is also very fundamental. From the above example, assuming the medication has a half-life of 4 hours, for the first dose of 400mg, half of the amount of the drug, i.e. 200mg would remain in the body after 4 hours.
The 600mg after 4 hours when a second dose of 400mg drug will be absorbed in a graph of t vs A, and after another 4 hours, now totaling 8 hours which is distinct is another half-life. Therefore 300mg remained in the body after 8 hours. The 700mg that remains in the body was the sum of the two doses.
This pattern continues, forming a geometric progression (400, 600, 700…) . This provides a model for doctors to determine appropriate dosage levels and frequencies, ensuring a consistent and effective concentration of medication in the patient’s bloodstream
Real-life Applications of Geometric Progression
Geometric Progression is a sequence of numbers whereby each term following the first can be derived by multiplying the preceding term by a fixed, non-zero number called the common ratio. For example, the series 2, 4, 8, 16, 32 is a geometric progression with a common ratio of 2. It may appear to be a purely academic concept, but it is widely used in our day-to-day life. From calculating compound interest to estimating the number of bacteria in a culture, geometric progression is applied. We will discuss these applications of geometric progression in detail in this article.
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