While updating a Facebook page I maintain I was presented with a FREE OFFER option so I grabbed it. For the offer I posted a link to a gift card drawing being held by the site owner. In a matter of just a few days the number of Likes on the page grew from 1,200 to over 5,000. Unfortunately Facebok determined that I did not meet the criteria for the offer I posted and they withdrew my offer. Nonetheless, I did expand the reach of the page tremendously in just a few days.
My suggestion is to post offers, which are typically coupons on your Facebook page and watch your audience grow!
Once your Facebook page reaches 400 likes you are able to create offers.