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Question Number 68695 by fermat last updated on 15/Sep/19

$$pour1<k<nmontrerque$$ $$k(n+1-k)<{(n+1/2)}^2$$

Answered by mind is power last updated on 15/Sep/19

$$n+1-k<n+\frac{1}{2}$$ $$k<n+\frac{1}{2}$$ $$\Rightarrow k(n+1-k)<{(n+\frac{1}{2})}^2$$

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