Bob, the inducer must run during the entire heat cycle. I'm not sure that I am reading your post correctly since it sounds as if the heat cycle continues while the inducer cycles. This should not happen since a pressure switch monitors the draft produced by the inducer and should be shutting down the burners when the motor shuts off. Suggest that you get a qualified tech to look at this. Possibilities concerning the inducer include, bad motor, defective Integrated Furnace Control (circuit board), loss of signal (voltage) from the thermostat.