Subsequent

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late Middle English: from Old French, or from Latin subsequent- ‘following after’ (from the verb subsequi ).

wiktionary

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Borrowed from Middle French subséquent [1], from Latin subsequentis, form of subsequēns, present participle of subsequor(“I follow, I succeed”).

etymonline

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subsequent (adj.)

"following in time, later," mid-15c., from Old French subsequent (14c.) and directly from Latin subsequentem (nominative subsequens), present participle of subsequi "come after in time, follow closely," figuratively "imitate, conform to," from sub "closely, up to" (see sub-) + sequi "follow" (from PIE root *sekw- (1) "to follow"). Related: Subsequently; subsequential.