How much can Titu's Lemma handle?

Algebra Level 4

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.

a_i

is real number;

b_i

is positive real number.

a_i

is positive real number;

b_i

is real number.

a_i

is real number;

b_i

is real number.

a_i

is positive real number;

b_i

is positive real number.

0 solutions

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