ZeZe4869 ZeZe4869
  • 22-10-2017
  • Mathematics
contestada

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

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superkueen
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 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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