# Answer to Question #21675 in Discrete Mathematics for Vanessa

Question #21675

Consider the difference equation un = f(un−1) where the function f(x) is given by

f(x)= {1/5 x + 4 x<=5}

{-3x + 20 x>5 }

(a) If u0 = 5, how does the resulting sequence behave as n ! 1?

(b) If u0 < 5, how does the resulting sequence behave as n ! 1? Draw a cobweb

diagram to illustrate your answer.

(c) If u0 > 5, how does the resulting sequence behave as n ! 1? Draw a cobweb

diagram to illustrate your answer

f(x)= {1/5 x + 4 x<=5}

{-3x + 20 x>5 }

(a) If u0 = 5, how does the resulting sequence behave as n ! 1?

(b) If u0 < 5, how does the resulting sequence behave as n ! 1? Draw a cobweb

diagram to illustrate your answer.

(c) If u0 > 5, how does the resulting sequence behave as n ! 1? Draw a cobweb

diagram to illustrate your answer

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