\[\large{\frac { { { a }_{ 1 } } }{ { a }_{ 2 }^{ 2 }+1 } +\frac { { a }_{ 2 } }{ { a }_{ 3 }^{ 2 }+1 } +......+\frac { { a }_{ n } }{ { a }_{ 1 }^{ 2 }+1 } }\]

Let \(n\) be an integer greater than \(3\), and let \(a_1, a_2, \cdots, a_n\) be non-negative real numbers with \( a_1+a_2+......+a_n=2\). Determine the minimum value of expression above.

*The question was given by my friend who gave the Girls Math Olympiad. This was the only question we were not able to solve*

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TopNewestAre you familiar with Classical inequalities? Which one would you use?

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