\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A gym has 200 members in 2025. Each year, the number of members increases by \(10\pourcent\) through referrals, and the gym adds 20 new members from advertising.
Let \((u_n)\) be the sequence corresponding to the number of members in the gym in 2025 + \(n\).
  1. How many members will there be in 2026?
  2. How many members will there be in 2027?
  3. For all \(n\in\N\), express \(u_{n+1}\) in terms of \(u_n\).
    \(u_{n+1}=\)