Question

Write whether every positive integer can be of the form 4q + 2 , where q is an integer . justufy tour answer

Answer 1

Let a be any positive integer and b=4
We know by euclid's division lemma that
a=bq+r
and r may be 0,1,2,or 3
therefore a can be of the form
4q,4q+1,4q+2or 4q+3
Hence Evey positive integer can be of the form 4q+2