Verb: proceed without interruption; in music or talk; "He segued into another discourse". / continue, go on, carry on, proceed: We then segued into a conversation about the role on play in childhood
Noun: An act or instance of segueing. The Segway was a good idea, and perhaps it's main accomplishment was it's name as it was a segue to now.  A `segue` is a smooth transition from one topic or section to the next.
1. Music. To make a transition directly from one section or theme to another.
2. To move smoothly and unhesitatingly from one state, condition, situation, or element to another: "Daylight segued into dusk" (Susan Dworski).
She then segued into discussion of women's rights.
He segued into a job as policeman for two and a half years.
Housing slowdown hasn't segued into renting boom
More importantly, you’ve segued into a presentation they’ll listen to without questioning the source.
This segued into a discussion of the project .