It showered an iTunes logo with a 30 pin and cable connector directed to it. But I pressed the sleep button and now there is a blank screen.
Over the air via WiFi
When I tried the first suggestion it didn't get back to the home screen. Instead it returned to the connect to iTunes visual. This is my wife's iPad 2 and she is fed up with doing updates as it seems every time something doesn't work. I really don't want to do the iCloud thing as it means clearing everything on the iPad and starting from scratch. Is there another way? Are you sure that the iOS installation got corrupted? And is this iOS 7 or 8?