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$2x_{n+5}^{4}+3 \leq x_{n-5}^{4} +4 \sqrt[4]{4x_{n-5}-3} $


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#1
thanhbinh214

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Cho dãy {$x_{n} $}được xác định như sau:
$x_{1} \geq \dfrac{3}{4}; x_{n+1}^{4}+3 =4x_{n}$.CMR
$2x_{n+5}^{4}+3 \leq x_{n-5}^{4} +4 \sqrt[4]{4x_{n-5}-3} $


Edited by Oral1020, 08-06-2013 - 10:54.


#2
voidaudan

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<=> $ 2.x_{n+4} \le x_{n-6}+x_{n-4} $

do $ x_{n} \ge x_{n+1} $ => DPCM






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