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Question Number 129383 by mathmax by abdo last updated on 15/Jan/21

$$\mathrm{find}\mathrm{the}\mathrm{sequence}{\mathrm{u}}_{\mathrm{n}}\mathrm{wish}\mathrm{verify}{\mathrm{u}}_{\mathrm{n}-\mathrm{p}}+{\mathrm{u}}_{\mathrm{n}+\mathrm{p}}=\frac{{(-1)}^{\mathrm{p}}}{\mathrm{n}+\mathrm{p}}$$$$\mathrm{for}\mathrm{all}\mathrm{n}⩾\mathrm{p}$$

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