Here's a strategy an algebra student discovered for finding the monthly payment you would need to make to pay off a loan. First, specify the loan amount, the annual interest rate, and the term (length) of the loan. Choose trial monthly payment amounts that form a sequence, say, $0, $1, $2, $3. Record the final balance remaining at the end of the term for each payment. Next, explore the differences in the final balances and find a pattern. Finally, use the pattern to find a monthly payment those results in a zero final balance. Tell how you know that your payment amount is correct. How many trial payment amounts do you need in order to determine the monthly payment? Try this strategy for one of the exercises in Lesson 1.5.