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[数列] 带参数的数列问题

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anhcanhsat97 posted 2022-9-25 21:05 |Read mode
Last edited by anhcanhsat97 2022-9-25 21:29令$a$为实数,序列$\left\{x_n\right\}$定义如下: $$\left\{\begin{array}{l}x_0=0, x_1=1\\(k+1) x_{k+2}=a x_{k+1}+(k-2022) x_k, \forall k \geq 0\end{array}\right.$$ 求 $a$ 的最大值,使得 $x_{2023}=0$.

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