Assignment:
Pauline takes a loan of S dollars at an interest rate of r percent per month, compounded monthly. She plans to repay the loan in T equal monthly installments of P dollars each.
a) Let a(subscript n) denote the amount Pauline owes on the loan after n months. Write a recurrence relation for a (subscript n).
b) Solve the recurrence relation that you obtained in a), above.
c) Use your answer from b) to obtain a formula for the monthly payment, P.
Provide complete and step by step solution for the question and show calculations and use formulas.