Question

write whether every positive integer can be of the form 4q + 2 , where q is an integer .
justify your answer !​

Answer 1

Let a be any positive integer and b=4 by division Lemma

there integer q and r

a=4q+r. where 0<r<4

Then r=0,1,2,3,4

a=4q+2

hence positive integer can be

from 4q+2. where q are integer