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Faruoq Faruoq
  • 19-02-2017
  • Mathematics
Answered

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

Verified Answer :

LammettHash
LammettHash LammettHash
  • 19-02-2017

\(\dfrac{n+1}{n+7}=\dfrac{n+7-6}{n+7}=1-\dfrac6{n+7}\)

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

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