How to do Model an annuity question?

Using a recurrence relation to model an annuity 3 Helen invests $40 000 in an annuity paying interest at the rate of 6% per annum, compounding quarterly. She receives a payment of $10 380 each quarter for 1 year. Let V, be the balance of the loan after n payments have been received. a Model this loan using a recurrence relation of the form: Vo = the principal, Vn+l = RV-D b Use the recurrence relation to determine the balance of the annuity after 6 months. Give your answer to the nearest cent