Use the example above and fill in the missing values.

Consider a three-year loan (so we'll assume the numbers 1 through 36) for $5,000 with interest at 10% per year. Using standard amortization, the monthly payment is $161.33. In this example, we will not worry about exact or ordinary interest because the total interest to be paid is $808.13.

After the fifth month the borrower decides to prepay the whole loan. Under a standard amortization plan the borrower would have paid $198.28 in cumulative interest. However, using the Rule of 78 a lender would calculate the fraction of the total interest based on two series:

{(n+35)+(n+34)+(n+33)+(n+32)+(n+31) }
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{(n)+(n+1)+...+(n+35)}

If you add 36, 35, 34, 33, and 32, the sum is __.
If you sum the numbers from 1 to 36, the sum is __.
The fraction (the first sum / the total sum) to the nearest tenth = __%. The lender will multiply this fraction by the total interest.
The cumulative interest = (the percentage calculated above)*($808.13) = $__.

The difference between the amount paid under a standard amortization plan and the amount paid under a Rule of 78 plan is: $ __.