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Hello-verry-Nice-day-let-U-n-E-3-17-2-n-n-N-show-that-U-n-n-2-




Question Number 74599 by mind is power last updated on 27/Nov/19
Hello,verry Nice day   let U_n =E((((3+(√(17)))/2))^n ),n∈N^∗   show that U_n ≡n(2)
$$\mathrm{Hello},\mathrm{verry}\:\mathrm{Nice}\:\mathrm{day}\: \\ $$$$\mathrm{let}\:\mathrm{U}_{\mathrm{n}} =\mathrm{E}\left(\left(\frac{\mathrm{3}+\sqrt{\mathrm{17}}}{\mathrm{2}}\right)^{\mathrm{n}} \right),\mathrm{n}\in\mathbb{N}^{\ast} \\ $$$$\mathrm{show}\:\mathrm{that}\:\mathrm{U}_{\mathrm{n}} \equiv\mathrm{n}\left(\mathrm{2}\right) \\ $$

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