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53. Every year, Mikhail receives a 3% raise in his annual salary. His starting annual salary was $40,000.
a. Does a geometric or arithmetic sequence best model Mikhail’s salary in yearn? Explain how you know.

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pedrocarratore

Answer:

Geometric sequence.

Step-by-step explanation:

In this situation Mikhail's salary increases by a constant multiple each year. A 3% rate is equivalent to multiplying the previous salary by a constant of 1.03, Mikhail's salary can be modeled by the following recursive equation:

[tex]S_{n}=S_{n-1}*1.03[/tex].

Therefore, since the same multiple can be used to find the next term in the sequence, a geometric sequence best models his salary.

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