how do I write an integer that can be represented by x and the next integer can then be represented as (x + 1) and still show that the sum of any two consecutive integers are always odd

Mathematics · Middle School · Tue Nov 03 2020

Answered on

let first number is x and second consecutive integer is x+1

sum of two consecutive integer= x+(x+1)

                                                         =2x+1

so, here we can not take 2 as a common number that means this number is not an even number.

hence after adding two consecutive integers we get odd number.

Hence proved.