Prove: the sum of four consecutive integers is never divisible by 4 g

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22-10-2017
Mathematics

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Prove: the sum of four consecutive integers is never divisible by 4 g

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superkueen superkueen · Answer 1 · 2017-10-22T06:26:00+02:00

superkueen superkueen

22-10-2017

Yup, that's right. Your integers are n,n+1,n+2,n+3. You add them up to get 4n+6. If you don't want to talk about remainders or congreuences, then you can also say that 4n+64=n+64=n+1+12. And ...
Missing: g

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konrad509 konrad509 · Answer 2 · 2019-06-19T22:26:05+02:00

konrad509 konrad509

19-06-2019

[tex]n+n+1+n+2+n+3=4n+6[/tex]

4n is divisible by 4, but 6 is not, so the sum 4n+6 is not divisble by 4.

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