What is the largest number that will always divide the sum of any 8 consecutive positive integers?
+26388 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 \(\color{red} 4\)
