Meaning

noun the act of changing smoothly from one state or situation to another

verb proceed without interruption; in music or talk

originBorrowed from Italian segue (“it follows”), from seguire (“to follow”), from Latin sequor; originally a term used in a musical score to indicate that the next movement or passage is to follow without a break. Cognate with Spanish seguir. Doublet of sue. Related to suit and sequence.

Etymology from Wiktionary, CC BY-SA 3.0