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Imagine the numbers 1 through 30 written in a row If you added together any two numbers that are next to each other you’d always get an odd number
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Yes. Basic rule is two odds make an even, two evens make an
even, an even and an odd make an odd. And note that any two
consecutive numbers include exactly one odd and one even. Or more
directly, if you start at number n you will add it to n+1 giving
2n+1. Since 2n is even, 2n+1 is odd.