Make a rough sketch of the graph of the difference equation without 
generating terms or solving the difference equation.

11.3.16: y_n = .3y_n-1 + 3.5, y_0 = 2

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11.3.18: y_n = 4y_n-1 - 18, y_0 = 5


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11.3.20: y_n = -.6y_n-1 + 6.4, y_0 = 1


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11.3.23. Laws of supply and demand cause the price of oats to fluctuate
from year to year. Suppose that the current price is $1.72 per bushel
and the price n years from now, p_n, satisfies the difference equation
p_n = -0.6p_(n-1) + 1.6. (Prices are assumed to have been adjusted for
inflation.) Sketch the graph of p_n.


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11.3.26. A municipal government can take out a long-term construction loan
at 8% interest compounded quarterly. Assuming that it can pay back $100,000
per quarter, how much money can it borrow?


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11.3.28: Casimir makes an initial deposit into a savings fund paying
4% compounded quarterly for his teenage daughter, Julie. She plans to
withdraw $200 at the end of each quarter to buy some new clothes. 

(a) Find the difference equation for y_n, the amount in the account after
n quarters.

(b) How large must the initial deposit be so that Julie will not run out of
money?