weekly
Happening once every week on a regular schedule.
Weekly means happening once every seven days, or once a week. If you have a weekly piano lesson, you go every Tuesday (or whatever day). If a magazine comes out weekly, a new issue appears each week. If you get a weekly allowance, you receive it on the same day every week.
The word works as both an adjective and an adverb. You might describe a weekly meeting (adjective) or say that something happens weekly (adverb). Many newspapers publish weekly rather than daily, giving writers more time to research their stories. Some families hold weekly game nights, setting aside the same evening each week to play together.
A weekly is also a noun: a publication that comes out once a week. Time and The Economist are well-known weeklies.
The pattern matters more than the exact day. Whether your library visit happens every Monday or every Thursday, as long as it happens once per week on a regular schedule, it's a weekly visit. This regularity helps people plan and creates helpful routines. Teachers often assign weekly spelling tests so students develop consistent study habits.