Starting in the year 2012, the number of speeding tickets issued each year in Middletown is predicted to grow according to an exponential growth model. During the year 2012, Middletown issued 190 speeding tickets (P₀=190). Every year thereafter, the number of speeding tickets issued is predicted to grow by 10%. If P_n denotes the predicted number of speeding tickets during the year 2012+n, then a) Write the recursive formula for P_n b) Write the explicit formula for P_n c) If this trend continues, how many speeding tickets are predicted to be issued in 2031?