If you set start date 2016-09-27 and set repeat every week the task will be auto created after 7 days from the start date, in this case the task will be auto created on 2016-10-03.
How will I receive notification when the task will be re-created?#
The task assignees will receive an email and web notification that new task is assigned to them or simply you will be able to notice the new task in the tasks list area.