How much can Titu's Lemma handle?

Algebra Level 3

Which of the following is the domain of \((a_1,a_2,…,a_n )\) and \((b_1,b_2,…,b_n )\), such that we will always have

\[\frac{a_1^2}{b_1}+\frac{a_2^2}{b_2}+...+\frac{a_n^2}{b_n}\geq\frac{(a_1+a_2+...+a_n)^2}{b_1+b_2+...+b_n}\]

Choose the most suitable answer.

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