The amount of cars produced by a factory each week forms an arithmetic sequence. In the first week the factory produces 100 cars. The number of cars produced will increase by 4 each week until the number of cars being produced reaches 180. The factory will then continue to produce 180 cars each week.
After how many weeks does the factory reach production of 180 cars per week.
Find the total number of cars produced in the first 52 weeks.
