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A city has \(15,000\) inhabitants in 2020. The mayor predicts that each year, \(10\pourcent\) of the inhabitants will leave the city, and \(1,000\) new people will move in.
  1. Determine the number of inhabitants in 2021.
  2. Model the problem using a sequence \((u_n)\).
  3. Determine the expression of \(u_n\) in terms of \(n\).
  4. Determine the limit of the sequence \((u_n)\) and interpret it in the context of the problem.

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