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Solutions of Recurrence Relations

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Consider the recurrence relation . Show that the general solution is

.

Show that the solution with starting values and corresponds to and .

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Solutions of a recurrence relation are found. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

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Problem

Consider the recurrence relation . Show that the general solution is

.

Show that the solution with starting values and corresponds to and .

Solution

For linear recurrence relations of the form

we would try a solution of the form

substituting this ...

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