Question: Prove that (ai + a2 +....... + an)2 n(a21 + a22 + .......+ a2n) for any real numbers a..........a. When does equality hold?

Prove that
(ai + a2 +....... + an)2 ≤ n(a21 + a22 + .......+ a2n) for any real numbers a\..........a". When does equality hold?

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