Final answer:
Mountain building is the geologic process responsible for the continued growth of Mt. Denali. Active plate tectonics and frequent earthquakes indicate ongoing uplift of the mountain.
Step-by-step explanation:
The geologic process responsible for the continued growth of Mt. Denali is mountain building.
Due to active plate tectonics, the area experiences frequent earthquakes, indicating ongoing uplift of the mountain. Numerous faults, including the major Denali fault system, demonstrate a long history of active plate tectonics and associated earthquake activity.