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 .

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 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 odd integer is of the form 6q+1 or,6q+3 or ,6q+5, where q is some integer.

Using Eulid's divison lemma, show that the square of any positive interger is either of the form 3m or ( 3m+1) for some integer m. |

Use Euclid's division lemma to show that the square of any positive integer is either of the form 3m or 3m + 1 for some integer m.

Show that the square of any positive integer cannot be of the form 6m+2 or 6m+5 for some integer q.

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