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Prove that one of every three consecutiv...

Prove that one of every three consecutive positive integers is divisible by 3.

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To prove that one of every three consecutive positive integers is divisible by 3, we can follow these steps: ### Step-by-Step Solution: 1. **Define the Consecutive Integers:** Let's denote three consecutive positive integers as \( n \), \( n + 1 \), and \( n + 2 \), where \( n \) is any positive integer. 2. **Consider the Remainders When Divided by 3:** ...
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