Final answer:
Delta waves, which are the largest and slowest brain waves, occur during stage N3 of sleep, often referred to as deep or slow-wave sleep.
Step-by-step explanation:
The largest, slowest waves known as delta waves occur during stage N3 of sleep. This stage is often referred to as deep sleep or slow-wave sleep, characterized by low frequency (less than 3 Hz), high amplitude brain waves. During this stage, an individual's heart rate and respiration slow dramatically, making it much more difficult to awaken someone from sleep.