- #1
Mr Davis 97
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I'm solving a problem, and the solution makes the following statement: "The common difference of the arithmetic sequence 106, 116, 126, ..., 996 is relatively prime to 3. Therefore, given any three consecutive terms, exactly one of them is divisible by 3."
Why is this statement true? Where does it come from? Is it generalizable to other numbers?
Why is this statement true? Where does it come from? Is it generalizable to other numbers?