\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A sequence is defined recursively by:
  • \(u_0 = 0\).
  • \(u_{n+1} = 2u_n + 1\).
Find the first four terms of this sequence (from \(u_0\) to \(u_3\)).
  • \(u_0=\)
  • \(u_1=\)
  • \(u_2=\)
  • \(u_3=\)