Are you protected when starting a new pack of pills?

Natalia
i've been taking the combo pill for just over a month, and when i started the next pack i was only about 3 pills in when i had a condom rip. he didn't finish inside of me when it ripped, and i know when you initially start the pill it takes 7 days to become effective. does this same 7 day rule apply after being on a week of placebos?