proving this modular problem?

ramsey2879

Quote by bonfire09

Dang! Oh i forgot to represent the integer n as an arbitrary value meaning that n=7m, 7m+1,7m+2,etc
Where m is an integer.

But the 4 cases you gave even if taken mod 7 do not address the case mentioned by SteveL27 since that is the case where n = 7m + 5, which is not one of the four cases you did.

Actually you could had broken it down into one of the following 4 cases:

n = 7m
n = 7m +/- 1
n = 7m +/- 2
n = 7m +/- 3

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