Solving third order recurrence relation

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find_the_fun
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I'm trying to solve a third order recurrence relation but not sure how. I wrote the characterisitc polynomial and factored it into [math](x-1)^3[/math]. Now what?
 
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Re: Solving third order reccurence relation

You have the characteristic root $r=1$ of multiplicity 3, so can you state what form the solution will have?