Question

Prove that $\frac{a_1}{a_9} + \frac{a_2}{a_8}+...\frac{a_9}{a_1} \le 1 + \frac{4(p^2+q^2)}{pq}$

score 244 · Answer 1 · 2018-06-18 16:22:38

244

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Prove that $\frac{a_1}{a_9} + \frac{a_2}{a_8}+...\frac{a_9}{a_1} \le 1 + \frac{4(p^2+q^2)}{pq}$

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List Question

Prove that $\frac{a_1}{a_9} + \frac{a_2}{a_8}+...\frac{a_9}{a_1} \le 1 + \frac{4(p^2+q^2)}{pq}$

An interesting algebraic inequality involving a square root

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In how many ways can integers $a_1<a_2<a_3<a_4$ be chosen from the integers $1,2,3,...,26$ such that $5 \le a_i - a_{i-1} \le 7$

Determine the number of paths to move from the top-left cell to the bottom-right cell such that there are an even number of direction changes

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