I've seen a couple threads like this elsewhere (google your problem), so know that whatever is happening to you has happened to someone else. Unfortunately that person, while asking the same question in several other forums, never returned to talk about the resolution. So, if you figure it out, please let us know what the issue was. I suspect it's a setting thing. Probably Continuous Mode is not compatible with another setting you're using, Try putting the camera in Manual Mode and boosting the shutter speed to 1/500 just to see if it fires away. If it does then back up to where you were a step at a time until you figure out where it stops working.
Or pour through the manual (which I suspect you're doing).