# Let's try again

Algebra Level 5

$\large\sum_{k=1}^{n-2}x_kx_{k+1}+x_nx_{n-3}>\sum_{k=1}^{n}x_k^2$

Find the smallest positive integer $$n\geq4$$ such that the above inequality holds for some real numbers $$x_1,\ldots,x_n$$.

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