(5 points) Anna Carson takes out a $40,000 loan for a car. The loan has an annual interest rate of 6%, which is equivalent to 0.5% monthly. Anna makes a $663 payment to reduce the loan balance. Let B be the loan balance immediately after the nth payment, where Bo = $40,000. a. Write the first five terms of the sequence B. b. Find the recurrence relation that generates the sequence. c. Determine how many months are needed to reduce the loan balance to zero