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A Sequence d1,d2,d3,…d _ { 1 } , d _ { 2 } , d _ { 3 } , \ldots

Question 9

Essay

A sequence d1,d2,d3,…d _ { 1 } , d _ { 2 } , d _ { 3 } , \ldots satisfies the recurrence relation dk=8dk−1−16dk−2d _ { k } = 8 d _ { k - 1 } - 16 d _ { k - 2 } with initial conditions d1=0d _ { 1 } = 0 and d2=1d _ { 2 } = 1 . Find an explicit formula for the sequence.

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The characteristic equation is blured image. Since blured image,...

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