What's an example of a lead nurturing campaign in action?

An example I can think of for a lead marketing automation campaign is that of a gym membership subscriction.

It can be planned in 4 stages:
1. Wecome Phase - where in the user is sent a welcome email with an offer to join at a discounted rate.

2. Resource Phase - where the user is sent information of other services at the gym like the spa, massage, nutrition & even perosnal training

3. Retention Phase - in this stage the user is sent an email way in advance asking to user to extend the membership. The user is given an offer of adding in a spouse/ family or friend to avail a further discount.

4. Nuturing Phase - the user is sent an email that includes free benefits for continuing the membership.

Comment if you feel this is a right apporach in this case & scenario.