Module 7, Recursively-Defined Sequences & Iterations AssignmentYou have learned how to write both the explicit and recursive forms of arithmetic and geometricsequences. You can solve for a term directly using the explicit form. In a recursive form, youneed to know the value of all the terms that come before the term you are looking for. Forexample, to find the value of the 10th term in a recursively-defined sequence, you need to knowthe values of term 1 to term 9. Finding the values of terms in recursively-defined sequences issimilar to the process of iteration. Both recursively-defined sequences and iteration use their ownnotation.Consider the scenario below.This morning Haidar noticed that her dog, Aldi,seemed unwell. She took him to the vet, where hewas diagnosed with an ear infection. Theveterinarian prescribed an antibiotic calledamoxicillin to help Aldi feel better. Haidar willgive Aldi 150 mg of the antibiotic once each dayfor 10 days. Each time Haidar gives Aldi his nextdose of medication, 40% of the previous doseremains in his bloodstream.Use what you know about recursive sequences and iteration to explore the mathematics related tothis scenario.1. Determine the amount of medication that is in Aldi's bloodstream after Haidar gives him eachof the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.2. Use your response to question 1 to write a recursive definition for the amount of medication inAldi's bloodstream after each dose of medication. Is your definition arithmetic, geometric, orneither? Explain. 3. Convert your recursive definition into iteration notation. Explain how you made yourconversion.4. Use iterative form to give its first 3 iterates. Explain how you determined your answer.5. Use your iterative form to find out how much medication is in Aldi's bloodstream right beforeHaidar gives him his last dose of medication. Show your work.6. Examine your answer to question 5. Does the amount of medication in Aldi's system seem tobe approaching a certain value? If so, what is the value? Use Desmos to plot the points thatrepresent the first 9 iterates. Provide a screenshot of your plot. What kind of shape do you see inthe points?

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Since there are multiple questions, we will solve the first question post the question again, and…

1. Determine the amount of medication that is in Aldi's bloodstream after Haidar gives him each of the 1st, 2nd, 3rd, and 4th doses of amoxicillin. Show your work.