[Theoretical] Restore database from one week old backup

Hi guys,

i have a theoretical question regarding Restore/Recovery.

How to deal with a problem if you have a disaster, and you only have a database backup that is a week old. The files on filesystem remain intact. When you restore what happens with items that have been archived during the active week.

And is there a way to recover from this kind of situation, or all items are lost even if they physically exist on some kind of storage.

Thanks !! :)