11.1.8: (a) Generate y_0,y_1,y_2,y_3, and y_4 from the difference equation. (b) Graph these first few terms. (c) Solve the difference equation. y_n = 0.5 y_(n-1) + 5, y_0 = 2 ---------------- 11.1.18 The population of a certain country is currently 70 million but is declining at the rate of 1% each year due to an excess of deaths over births. In addition, the country is losing one million people each year due to emigration. Let y_n be the population after n years. Find a difference equation satisfied by y_n --------------- 11.1.25 Ferdinand knows that he will need to replace his home office equipment someday. He deposits $800 into a savings account paying 4% interest compounded annually. At the end of each year he deposits $250 into the account. Let y_n be the amount in the account after n years. (a) Find a difference equation satisfied by y_n (b) Solve the difference equation (c) How much money will he have in the account after 7 years? --------------- 11.1.26 Anne takes out a $317 loan at 10% annual interest. She pays off $100 at the end of each year for 4 years. Compute the balance on the loan immediately after she makes the first payment. Then compute the balance after the second payment.