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A Sequence c0,c1,c2,…c _ { 0 } , c _ { 1 } , c _ { 2 } , \ldots

Question 10

Essay

A sequence c0,c1,c2,…c _ { 0 } , c _ { 1 } , c _ { 2 } , \ldots satisfies the recurrence relation ck=6ck−1−9ck−2c _ { k } = 6 c _ { k - 1 } - 9 c _ { k - 2 } with initial conditions c0=1c _ { 0 } = 1 and c1=6c _ { 1 } = 6 . Find an explicit formula for the sequence.

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

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