Question 12) A) Take in the following adaptation of the example of Rabbits on an island. Two rabbits on an island don’t breed until they are 2 months old. Once they do, each pair creates two pairs each month. Discover a recurrence relation for fn, the number of pairs of rabbits after n months (no deaths). It is enough to write the recurrence relation for fn and the initial conditions. B) Determine the degree & characteristic equation of the recurrence relation bn=bn-1-6bn-3? C) Let’s say the roots of the characteristic equation of a linear homogeneous recurrence relation are -2, -2, -2, and 3. Please give the form of the general solution.

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