Mathematics, 21.12.2020 21:10, animationfusion

Suppose that the sequence x0, x1, x2... is defined by x0 = 5, x1 = 6, and xk+2 = 5xk+1−6xk for k≥0. Find a general formula for xk. The right answer is: xk = −4(3k)+9(2k)

But how do we get that answer? Please show all your steps with explanation.

Answers: 3

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Suppose that the sequence x0, x1, x2... is defined by x0 = 5, x1 = 6, and xk+2 = 5xk+1−6xk for k≥0....

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Suppose that the sequence x0, x1, x2... is defined by x0 = 5, x1 = 6, and xk+2 = 5xk+1−6xk for k≥0. Find a general formula for xk. The right answer is: xk = −4(3k)+9(2k) But how do we get that answer? Please show all your steps with explanation.

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Suppose that the sequence x0, x1, x2... is defined by x0 = 5, x1 = 6, and xk+2 = 5xk+1−6xk for k≥0. Find a general formula for xk. The right answer is: xk = −4(3k)+9(2k)

But how do we get that answer? Please show all your steps with explanation.