Solve a0 = 1, and an = 2an−1 + 1 for n ≥ 1 using the characteristic equation method. hint: try an = a, a constant, to find a particular solution.

Michael gose to a theme park and rides two different roller coasters that both begin on a raised platform his height while on the first roller coaster measured in feet from the platform height can be modeled by the following graph where t is the number of seconds since the ride began