If the reference is to time , next and last are used without an article when we refer to what is or was immediately after or before today : He'll come next week. (= the week after this week) I met him last month. (= the month before this month) In some cases both uses are correct: We'll talk about it [the] next time.
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New2grammarThanks, CB!My pleasure, N2G. You would indeed say He had arrived [on] the previous day if you were talking about a specific day in the past. So at least that part of the rule applies to previous. People don't normally use previous when they say He came