c please in the form ak = r^kc+b/1-r. write the closed form do not just solve

3. You owe $500 on a credit card that charges 1.5% interest each month. You pay $50 each month and make no new charges. (a) Represent this scenario with a dynamical system. (b) What is the equilibrium value? What does the equilibrium value mean in this context? (c) Solve the dynamical system (a) When will the account be paid off? 3. You owe $500 on a credit card that charges 1.5% interest each month. You pay $50 each month and make no new charges. (a) Represent this scenario with a dynamical system. (b) What is the equilibrium value? What does the equilibrium value mean in this context? (c) Solve the dynamical system (a) When will the account be paid off