Forum Discussion
Recurring Form
There's currently no recurring feature to do what you are asking at this time, so it will have to be manually done from within the form via ... > Settings > Options for responses and just manually update the dates (time will remain as is) when the survey closes.
Also for the one person only rule, if it's for internal users within your organisation, then you can use Only people in my organization can respond and tick One response per person but this will not work if you need the same people to fill it in weekly as after the first response they make it will lock them out of future ones.
I'd suggest leaving the One response per person blank to avoid locking out responders (or turn on Record name to see who has doubled up on the survey).
You'll have to use clear instructions to guide users that it's only one response per week (try Customize thank you message).
Hope that helps you with some ideas!
Cheers and good luck
Damien