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A Sequence a0,a1,a2,…a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldots

Question 22

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A sequence a0,a1,a2,…a _ { 0 } , a _ { 1 } , a _ { 2 } , \ldots satisfies the recurrence relation ak=4ak−1−3ak−2a _ { k } = 4 a _ { k - 1 } - 3 a _ { k - 2 } with initial conditions a0=1a _ { 0 } = 1 and a1=2a _ { 1 } = 2 . Find an explicit formula for the sequence.

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

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