**David Brinkley**

# Part - 2 Lecture - 2 Chapter 1 Real Numbers

00:00:39 Question 1. 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.

00:08:34 Question 2. Show that any positive odd integer is of the form 4q + 1 or 4q + 3, where q is some integer.

00:16:04 Question 3. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer.