Amazon has been offering a free app of the day for a while now, but that offer is good for Android users only. Well, Apple seems to have caught on to the fact that iOS users like to save money too, as it's debuting a "free app of the week" offer. Cupertino kicked off the new promotion yesterday via Twitter, where it announced that the game Cut the Rope: Experiments will be the first free download. Click on through to the source link, and you'll see that the Appstore indeed lists the title as "free for a limited time."