GAIC Math 2024 Problem 66

Answer

Given sequence $\{a_n\}$ satisfying $a_1=a, a_{n+1}=2(a_n+\frac{1}{a_n})-3$ . If $a_{n+1} > a_n (n \in Z_{+})$ . The range of real number $a$ is _____.

Dataset text MathOdyssey. Open licence.

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$(0,\frac{1}{2}) \cup (2,+\infty)$

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