In most cases, each state has a minimum notice requirement to end a lease. Thirty days written notice is typical. If you have not been served with any written notice ending the lease let alone one for a thirty day notice requirement, then the one week notice is not sufficient notice.I would speak with the person who gave you the notice and let him or her know that one week is not enough under the law of your state and that you need more time to move out. After all, you need to find another place to live.