Show the every positive odd integer is of the form ( 6m+1) or ( 6m+3) or ( 6m+5) for some intger m.

Show the any positive integer is of the form 3m or ( 3m +1) or ( 3m +2) for some integer m .

Show that any positive odd integer of the form (4m +1) or ( 4m +3) for some integer m .

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Show that every positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

Using Eulids division lemma, show that the cube of any positive integer is of the form 9m , or ( 9m+1) or ( 9m+8) for some integer m.

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

Show that every even positive integer is of the form 6q or 6q + 2 or 6q + 4 for some integer q .

Show that any positive odd integer is of the form 6q+1 or 6q+3 or 6q+5 , where q is some integer