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# sequence

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A sequence $x_1, x_2, x_3, \dots$ is defined by $x_n = x_{n - 1} - x_{n - 2}$ for all $n \ge 2$.

If $x_{10} = -5$ and $x_{14} = 8$, then determine $x_1$.

Jun 29, 2022

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Wait... so $$x_1 = x_0 - x_ \text{-1}$$, but the function isn't defined for $$n > 2$$

The problem doesn't make sense.....

Jun 30, 2022