I purchased a home six months ago, and recently the water has started pulsating. Within the last couple of days the water has actually cut off while using it. It cut off during showers and simply using the sink. The house is on a well. Any thoughts?

You didn't say but I'll bet when the water went off the pump still kept on running.
This could be caused by a lowering water table or the well point clogging up. Either way you need a well man to check it out. Good luck and let me know. Tom