Question: For the following problems, find the solution to the difference equation and the equilibrium value if one exists. Discuss the long-term behavior of the solution

For the following problems, find the solution to the difference equation and the equilibrium value if one exists. Discuss the long-term behavior of the solution for various initial values. Classify the equilibrium values as stable or unstable.

a. an+1 = -an + 2, ao = 1

b. an+1 = an + 2, ao = -1

c. an+1 = an + 3.2, an +3.2, ao = 1.3

d. an+1 = -3an +4, ao = 5

an+1 =an +2, ao = 1

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