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

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

1.	Show that any positive odd integer is of the form 6q+1or 6q+3or 6q+5where a is some integer
Answer» Let a be any integer divisible by 6....So, a = 6q, 6q+1, 6q+2, 6q+3, 6q+4,6q+5, ...(0<= r <6)We know that multiple of 6 are even and addition of even with even is also even...Therefore, 6q, 6q+2, 6q+4 are even.......hence, 6q+1,6q+3,6q+5 are odd_______________________________HOPE THIS WILL HELP U TO UNDERSTAND???