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

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

1.	Show that any positive odd integer is the form 6q+1, or 6q+3 ,or 6q+5 , where q is some integer
Answer» Let a positive odd integer be ,a ,and , b =6 6q +1, 6q +3 ,6q +5 a= bq + ra = 6q + ra = 6q + 1 (r =1, 3, 5)a = 6q + 3a = 6q + 5. Proved