3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further, assume the geometric sequence has only positive valued terms. Find the nth term an of the sequence.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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C.
Suppose we know the second term of a geometric sequence is and the fourth term is
Further, assume the geometric sequence has only positive valued terms. Find the nth term an of the
sequence.
d.
After a major surgery, a patient is directed to a rehabilitation facility where they implement an
exercise regimen to aid recovery. The first week, the patient engages in various exercises for 4 minutes
every hour while awake. For each week after the first week, the exercise time increases by 3 minutes.
Model the time spent exercising each hour while awake for a given week using a sequence, expressed in
nth term form. Use this model to predict the amount of time spent exercising each hour after 10 weeks.
Transcribed Image Text:C. Suppose we know the second term of a geometric sequence is and the fourth term is Further, assume the geometric sequence has only positive valued terms. Find the nth term an of the sequence. d. After a major surgery, a patient is directed to a rehabilitation facility where they implement an exercise regimen to aid recovery. The first week, the patient engages in various exercises for 4 minutes every hour while awake. For each week after the first week, the exercise time increases by 3 minutes. Model the time spent exercising each hour while awake for a given week using a sequence, expressed in nth term form. Use this model to predict the amount of time spent exercising each hour after 10 weeks.
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