Afactory makes custom sports cars at an increasing rate. in the first month only one car is made, in the second month two cars are made, and so on, with n cars made in the nth month.
(a) set up a recurrence relation for the number of cars produced in the first n months by this factory.
(b) find an explicit formula for the number of cars produced in the first n months by this factory (i. e., the sum of number of cars that are made in the first month, the second month, the nth month).
(c) how many cars are produced in the first year?