Please show step by step with accurate answer

2. In class, when we computed a mortgage, we set P(n} to be the amount owed on the loan after at months, and approximated the nth payment to principal as P'(n). At that point in the course, we didn't have the tools to compute geometric sums. Now that we do, we can rte-investigate our mortgage model. Let $P be the initial loan, and let 5'" be the monthly interest rate. Suppose you pay off your loan over the course of N months. (a) Interpret the system of equations below in terms of the model. TP-ikl =T(Pk1)+kg =T(Pk1k2l+k3 =T(P_kl_k2_"'_kn1)+kn =T(Pk1k2'\"kn1kn)+kn+1 Your answer should include the interpretation of the two terms added in each line, and an expiw nation of why the lines are all equal. (b) Find kn\" in terms of Ian and 1", using the system of equations in (3.). {Assume 1 S n + 1 5 N.) {c} Find kn in terms of r and kl, using your answer from (b). (Assume n S N.)