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Question Number 74599 by mind is power last updated on 27/Nov/19

$$\mathrm{Hello},\mathrm{verry}\mathrm{Nice}\mathrm{day}$$$$\mathrm{let}{\mathrm{U}}_{\mathrm{n}}=\mathrm{E}\left({\left(\frac{3+\sqrt{17}}{2}\right)}^{\mathrm{n}}\right),\mathrm{n}\in {\mathbb{N}}^{\ast }$$$$\mathrm{show}\mathrm{that}{\mathrm{U}}_{\mathrm{n}}\equiv \mathrm{n}\left(2\right)$$

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