To a difference equation of the form y_k+1^_ ay_k = b, for suitable constants a and b.

A loan of $10,000 has an interest rate of 1% per month and a monthly payment of $450. The loan is made at month k = 0, and the first payment is made one month later, at k = 1. For

a. Write a difference equation satisfied by {y_k}.
b. Create a table showing k and the balance yk at month k. List the program or the keystrokes you used to create the table.
c. What will k be when the last payment is made? How much will the last payment be? How much money did the borrower pay in total?

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yı New balance = 10,000+ Balance due (.01)10,000 - 450 Interest Payment added