Find an expression for the amount of money in the bank after five years
when the initial deposit is $80 and annual interest is as given:

11.2.8: 12% compounded semiannually.

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11.2.4: 4% simple interest.

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Solve the difference equation and, by inspection, determine the long-run
behavior of the terms (i.e., the behavior as n gets large.)

11.2.14: y_n = 3y_n-1 - 12  y_0 = 10


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11.2.17: A bank loan of $38,900 at 9% interest compounded monthly is made in
order to buy a house and is paid off at the rate of $350 per month for
20 years. The balance at any time is the amount still owed on the loan, i.e.,
the amount that would have to be paid out to repay the loan all at once
at that time. Find the difference equation for y_n, the balance after n
months.