As a Noun:
1. A number of things or events that come one after the other. English = series.
2. A number of things or events that come one after the other in a particular order. English = sequence.
3. The particular order and series in which things of a particular type come one after another. English = succession.
4. In mathematics, an arrangement of numbers in a particular order. English = sequence.
As a Verb or Adjective:
1. Of things or events, to come one after the other. English = (be) serial.
2. Of things or events, to come one after the other in a particular order. English = (be) sequential.
3. Of things or events, to come one after the other and not be interrupted. English = (be) consecutive, (be) successive.
As Modifier:
1. Used after a verb to mean the action happens repeatedly in a particular order, usually involving different participants. English = successively, sequentially, serially.
2. Used at the end of a statement to mean that the actions or events continued to happen in the way that one would expect. English = and so on and so forth.