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I asked a question on this post

should I put ... at the end?

in case someone is not familiar to sequence-of-sets, this could be viewed as a punctuation at the end of a sentence (bad analogy).

following expression, which is more appropriate?

expression_1:

should I put ... at the end?

expression_2:

do I need to put ... at the end?

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I would say that "should" implies some sort of option, where it is more of a suggestion. Whereas "need to" implies necessity (obviously ;-) which means that any other option leaves something out.

In the case of your original question, if you do not write "…" (horizontal ellipsis U+2026) at the end, then you are referencing a (possibly) finite set.

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