contestada

There are exactly four positive integers n such that (n +7) is a factor of ( n +1) . Find the largest such n .

Respuesta :

[tex]\dfrac{n+1}{n+7}=\dfrac{n+7-6}{n+7}=1-\dfrac6{n+7}[/tex]

[tex]n+7[/tex] will be a factor whenever the remainder term [tex]-\dfrac6{n+7}[/tex] vanishes. But this will never happen for any integer [tex]n[/tex], so I suspect the question is inaccurately posed. Are there some characters missing?