Final answer:
The appropriate drug to administer in order to terminate the rhythm in a 35 y/o woman with palpitations, light-headedness, and stable tachycardia is adenosine 6 mg.
Step-by-step explanation:
In this case, a 35 y/o woman with palpitations, light-headedness, and stable tachycardia at a rate of 180/min is not responding to vagal maneuvers. In order to terminate the rhythm, the appropriate drug to administer would be adenosine 6 mg. Adenosine is a medication commonly used for the treatment of supraventricular tachycardia (SVT) as it slows conduction through the AV node and interrupts the reentry pathway responsible for the tachycardia.