At least one of any three consecutive natural numbers is even

At least one of any three consecutive natural numbers is even


Let the continuous natural number be x, x + 1, x + 2
The "drawer" here is odd and even
If x is even, then these three numbers have at least two even numbers
If x is odd, odd + 1 (odd) = even
So both cases show that there are even numbers



At least one of any three consecutive natural numbers is even


Two adjacent natural numbers must have an odd number and an even number, so at least one of the three natural numbers has an even number, just like putting three things in two drawers and at least two things in one drawer



Three consecutive natural numbers, there must be an even number. Explain with drawer principle


Let the continuous natural number be x, x + 1, x + 2
The "drawer" here is odd and even
If x is even, then these three numbers have at least two even numbers
If x is odd, odd + 1 (odd) = even
So both cases show that there are even numbers