Final answer:
The dance type exemplified in Bach's Orchestral Suite No. 3 is a gigue, which is a fast-paced, compound meter dance that typically concludes a suite.
Step-by-step explanation:
The excerpt from Bach's Orchestral Suite No. 3 is an example of the dance type known as a gigue. The gigue is a lively baroque dance originating from the British jig, and it often serves as the final movement of a suite. In Johann Sebastian Bach's suites, gigues are characterized by their fast tempo, compound meter (typically 6/8 or 12/8), and contrapuntal textures. As for the other options, a minuet is a more moderate tempo dance in 3/4 time, a sarabande is a slow dance in triple meter with an emphasis on the second beat, and an allemande is a moderate tempo 4/4 dance with a characteristic continuous flow of quavers.