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Formula q_850 - ArqMath20

Formula q_850 (Q657)

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Language	Label	Description	Also known as
English	Formula q_850	No description defined

Statements

arqmath formula id

q_850

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Defining formula

\sum_{k = 0}^{n} k \cdot (\begin{matrix} n \\ k \end{matrix}) \leq \sum_{k = 0}^{n} k \cdot (\begin{matrix} n \\ ⌊ \frac{n}{2} ⌋ \end{matrix}) \leq \frac{n \cdot (n + 1)}{2} \cdot (\begin{matrix} n \\ ⌊ \frac{n}{2} ⌋ \end{matrix}) \leq n (n + 1)! \leq n n^{n} \leq n^{n + 1}

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