Question: 1. Use a difference equation to derive the formula for the present value of a decreasing annuity in which R dollars is withdrawn from a

1. Use a difference equation to derive the formula for the present value of a decreasing in which R dollars is withdrawn from a savings account at the end of each interest period and where the interest rate per period is i.
2. A parachutist opens her parachute after reaching a speed of 100 feet per second. Suppose that yn, her speed n seconds after opening the parachute, satisfies the difference equation yn = .1yn-1 + 14.4, y0 = 100.
(a) Solve the difference equation
(b) Her speed will get closer and closer to what speed?

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