James begins a savings plan in which he deposits $90 at the beginning of each month into an account that earns 7.8% interest annually or equivalently, 0.65% per month. To be clear, on the first day of each month, the bank adds 0.65% of the current balance as interest, and then James deposits $90. Let B, be the balance in the account after the nth deposit, where Bo = $0. Complete parts (a) through (c) below. UA. Multiply the balance or the previous montn by the monthly interest rate to ring the interest of this montn. Then add the the deposit and the interest of this month found earlier to the balance of the previous month to find the balance of this month. O B. Multiply the balance of the previous month by the monthly interest rate to find the interest of this month. Then add the the deposit to the interest of this month found earlier to find the balance of this month. OC. Multiply the balance of the previous month by the annually interest rate to find the interest of this month. Then add the the deposit and the interest of this month found earlier to the balance of the previous month to find the balance of this month. D. Multiply the balance of the previous month by the monthly interest rate to find the interest of this month. Then add the interest of this month found earlier to the balance of the previous month to find the balance of this month. Evaluate the first five terms. B = $0, B, = $0.B2 =$.B3 = $.Ba = $ (Do not round until the final answer. Then round to the nearest cent as needed.) b. Find a recurrence relation that generates the sequence (B): Bran c. Determine how many months are needed to reach a balance of $4200. A balance of $4200 will be reached during month number (Type a whole number)