\(\renewcommand{\d}{\displaystyle}\newcommand{\N}{\mathbb N}\)

Suppose [math] satisfies the recurrence [math] Note that this is not enough information to define the function, since we don’t have an initial condition. For each of the initial conditions below, find the value of [math]
  1. [math]
    [math]
  2. [math]
    [math]
  3. [math]
    [math]
  4. [math]
    [math]

Solution: