Solve the following linear recurrences. xk+3 = -2xk+2 + xk+l + 2xk, where x0 = 1, x1

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Solve the following linear recurrences.
xk+3 = -2xk+2 + xk+l + 2xk, where x0 = 1, x1 = 0, and x2 = 1.
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