Question

show that every positive even integer is of the form of 2q and that every positive odd integer is of the form 2q+ 1 where q is some integer

Answer 1

hello mate!

let a be any positive integer . by Euclid's division lemma a=bq+r where r=0,1
so, put r=0
a=2q+0
a=2q(even)
put r=1
a=2q+1(odd)

hope it helps!