show that every positive integer is either even or odd
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For example, 'n = 2k + 1', where 'k' is an integer, then, (n +1) = (2k+1) + 1. And after simplifying the brackets, we get (2k +2), which is divisible by 2. And as (2k+2) is divisible by 2, it must be an even number, because only even numbers are a multiple of 2.
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Show that every positive integer is either even or odd.
For example, 'n = 2k + 1', where 'k' is an integer, then, (n +1) = (2k+1) + 1. And after simplifying the brackets, we get (2k +2), which is divisible by 2. And as (2k+2) is divisible by 2, it must be an even number, because only even numbers are a multiple of 2.
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