Login to your Facebook account, go to the "My Account" page, go to the deactivate your account section and follow the "Click here" link. You will have a short form to complete with a reason for deactivating your account. Click the appropriate button that lists your reason for deactivating your account. You also have to opt out of the Facebook emails or you will continue to get invites so you will need to check that button also.
I received this same cheap, cheesy offer. The best part of the letters is stated, "We will forward each and every one of your payments to you." Seriously, why do you need your money forwarded to you. Why cant it come directly to you. They have your address because they sent you the offer. So other participants aren't capable of sending you your money? I would stay far away from this one. You'll probably never see a dime.