Let $a_1, \ldots, a_n$ be distinct positive integers. Show that

$\frac{a_1}{1^2} + \frac{a_2}{2^2} + \cdots + \frac{a_n}{n^2} \geq \frac{1}{1} + \frac{1}{2} + \cdots + \frac{1}{n}.$

Question

Let $a_1, \ldots, a_n$ be distinct positive integers. Show that

$\frac{a_1}{1^2} + \frac{a_2}{2^2} + \cdots + \frac{a_n}{n^2} \geq \frac{1}{1} + \frac{1}{2} + \cdots + \frac{1}{n}.$

irishboy123 · Answer

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ganeshie8 · Answer

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ganeshie8 · Answer

https://i.gyazo.com/8a51efb1ad1f80d64c4fbb6b759cc44e.png