See some are making assumptions. Up until last yr our previous place didn't have a captive air tank. Lived there for 40 yrs and still using same tank that was there when we moved in. If your's isn't, the short cycling is a sign of the tank being water logged. Had to recharge our tank several times a yr to keep the short cycling in check.
You've not given any specifics about your water system so is impossible to give any good advise, just guesses.
How big is the tank? Drawn down capacity or total capacity? Is the pump cycling even with the faucets off? If so, that a sign of a leak somewhere in the system.