The correct order of the lunar phases from new moon to full moon and back to new moon is:
- New moon
- Waxing crescent
- First quarter
- Waxing gibbous
- Full moon
- Waning gibbous
- Third quarter
- Waning crescent
Among your options, the closest correct sequence is:
New moon, waxing crescent, first quarter, waning gibbons
However, "waning gibbons" appears to be a typo, and it should be "waning gibbous."
Therefore, the option that best represents a correct sequence is:
New moon, waxing crescent, first quarter, waning gibbous.