Drip feeding content with the Membership plugin

I have a client who would like to drip feed content on a month by month basis. She's offering the first month free and then they pay for the next month's content and as they progress through new content is released each month of their subscription.

So if someone signs up 6 months from now, they only get access to month 1 for the first month, then month 2 for the second month.

Is this possible without setting up a subscription level for each month and doing an automatic upgrade of the membership levels? I went through the documentation and couldn't see a way to do this kind of drip feed.