New Moon and Waxing Moon
As you view the moon on Oct. 1, you will see it in the third quarter, as it becomes a waning gibbous moon and then a waning crescent before entering into a new moon phase Oct. 7. The moon will then wax, or grow, in brightness, first becoming a waxing crescent, and then a first-quarter moon on Oct. 14.
Full Moon
After the first quarter phase, the moon will enter the waxing gibbous phase, as more and more of its reflective surface becomes viewable from Earth. The moon will become a full moon on Oct. 20.
Waning Moon and New Moon
The full moon will then start to wane, or diminish, in brightness entering the third quarter moon phase on Oct. 30, after which it will become a waning gibbous moon and then a waning crescent moon and then a new moon again Nov. 6.