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Consider the following sequence:

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\\[\\var{a}, \\var{b}, \\var{a+b}, \\var{a+2b}, \\var{2a+3b}, \\var{3a+5b}, \\ldots\\]

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Is this sequence: 

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Given the following recurrence relation for this sequence, find A, B and D:

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\\[C(n)=\\begin{cases}  A & if & n=1\\\\ B & if & n=2\\\\ C(n-1)+ D & if & n\\geq3 \\end{cases}\\]

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A = [[0]] and B = [[1]] and D = C(  [[2]]).

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