# SOLUTION: Show that one and only one out of n, n+2, n+4 is divisible by 3, where n is any positive integer

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 Question 620766: Show that one and only one out of n, n+2, n+4 is divisible by 3, where n is any positive integerAnswer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website!``` Hi, Show that one and only one out of n, n+2, n+4 is divisible by 3, where n is any positive integer Note: number must leave a remainder of either 0, 2, or 4 when divided by 3, so it can be written as either 3k, 3k+2, or 3k+4 for some k (the quotient). If n = 3k: , 3k + 2, 3k + 4 If n = 3k+2: 3k+2, 3k + 4, If n = 3k+4: 3k+4, , 3k + 8 In each case, one and only one out of n, n+2, n+4 is divisible by 3 ```