Show that any positive odd integers is of the form of 4m+1 or 4m+3 where m is some integer

Show that any positive odd integers is of the form of 4m+1 or 4m+3 whe

1.	Show that any positive odd integers is of the form of 4m+1 or 4m+3 where m is some integer
Answer» Where q is an integer According to Euclid division lemma a=bq+r. ,whereas b>r<0 and also equal. a=bq+r ,where r=0,1,2,3In first case a= bq+r when r =0 then, a=4q+0 a=4q.In second case when r=1 then, a=bq+r a=4q+1.In third case when r=2 then, a=bq+r a=4q+2.In last Case when r=3 then, a=bq+r a=4q+3.