A factory 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
(a) Set up a recurrence relation for the number of cars produced in the first n months by
(b) How many cars are produced in the first year?
a. I think this would be an = an-1 + 1, but something tells me it might be an = an-1 + n, I am not sure.
b. Would this just be 1+2+3+4+5+6+7+8+9+10+11+12? Or, plugging in 12 for the above equation?