At a certain dealership, a model for the number of cars sold per year is based on the assumption that the number of cars sold in a given year is the average of the numbers sold in the previous two years.

Suppose 70 cars were sold initially (in year 0) and 100 cars were sold the following year (in year 1).

1.) Describe the recurrence relation

_______ + __________

2.) Assuming the initial conditions described above, write the closed form:

[cn\ where cnthe number of cars sold in year n