kathexes describes something presented or occurring in a sequence, as in an ordered account, succession, or journey.

The adverb marks sequence or orderly progression across accounts, persons, and movement: an account is written in sequence, prophets are named in succession, and travel proceeds through regions or settlements.

1. In sequence or orderly progression · dominant

   In Luke 1:3 the adverb qualifies the writing of an account after careful investigation; the APB renders this as writing "in an orderly sequence." Acts 11:4 presents Peter’s explanation in sequence, Acts 3:24 places prophets after Samuel in succession, and Acts 18:23 and Luke 8:1 describe movement through successive regions, cities, and villages.

   Luke 1:3Acts 11:4Acts 3:24Acts 18:23Luke 8:1

In the Anselm Project Bible: The APB variously presents the sequence with "in order," "in an orderly sequence," "after in order," and "in the following order." These phrases indicate the verses’ overall presentation rather than fixed English equivalents.