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What is the largest number that will always divide the sum of any 8 consecutive positive integers?

 Jul 10, 2021
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What is the largest number that will always divide the sum of any 8 consecutive positive integers?

 

My attempt:

 

\(\begin{array}{|rcll|} \hline \text{sum} &=& \dfrac{(a_1+a_8)}{2}\times 8 \\\\ \text{sum} &=& (a_1+a_8)\times \color{red}4 \\ \hline \end{array} \)

 

The largest number is \(\color{red} 4\)

 

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 Jul 10, 2021

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