Question

[tex]\huge\mathfrak\purple{Hello\:Mate}❤

Show that every positive even integer is of the form 2q and every positive odd integer is of the form 2q + 1 where q is some integer.
(using Euclid's division algorithm)​

Answer 1

Answer attached

Hope it helped u ☺️

~SunTheHelpingHand

Answer 2

Here is ur answer

let 'a' be any positive integer and b=2 By euclid's division algorithm a=bq+r 0≤r<b a=2q+r 0≤r<2 (i.e)

r =0,1 r=0 ,

a=2q+0=> a=2q r=1,

a=2q+1

if a is the form of 2m then 'a' is an even integer and positive odd integer is of the form 2m+1.

Hope it helps! ✌️❤️