Question: Find a basis for the space V of sequences [xn) satisfying the following recurrences, and use it to find the sequence satisfying x0 = 1,

Find a basis for the space V of sequences [xn) satisfying the following recurrences, and use it to find the sequence satisfying x0 = 1, x1, = 2, x2 = 1.
xn+3 = -6xn + 7xn+1

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The associated polynomial is px x 3 7x 6 x 1x 2x 3 Hence 1 2n 3n is a basis of the space of ... View full answer

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