It’s pretty impressive that Jeopardy has so many games taped and waiting to air, considering the show only films twice a week. However, each tape day records five episodes, meaning every week of production gets two weeks of programming in the can. Typically, the show films about three months in advance, though there may be a slightly shorter time between filming and airing near the start of the production year.
Usually by spring, though, there will be at least three months’ lead time before airtime, based on personal experience. (As a former Jeopardy! contestant I am contractually obligated to mention I was on the show whenever the subject comes up.) Though my episode aired in late June 2016, it was recorded in the last week of March.
Source : https://www.distractify.com/p/how-far-ahead-is-jeopardy-filmed