Question

show that every positive integer is either even or odd​

Answer 1

Answer:

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.

Answer 2

Answer:

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.