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

Show that any positive integer is of the from 3q or 3q+1 or 3q+2

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

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

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

Show that any positive odd integer of the form (4m +1) or ( 4m +3) 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 positive even integer is of the form 2q, and that every positive odd integer is of the form 2q+1, where q is some integer.

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