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# Unequal

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

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

Note by Lakshya Sinha
6 months ago

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