Sir convergent?

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Cezar Lupu
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Sir convergent?

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Aratati ca sirul \( (a_{n})_{n\geq 1} \) definit prin \( a_{1}=1 \) si \( a_{n+1}=\frac{2}{n^{2}}\sum_{k=1}^{n}ka_{k} \) este strict crescator. Este sirul dat convergent?
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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