I know that sets are subsets of themselves, so by that logic is that true for sequences?
2026-05-14 21:27:00.1778794020
Is a sequence a subsequence of itself?
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Yes, a sequence is one of its own subsequence, which is similar to an idea that any set is a subset of itself.
If we want to specify that a subsequence is not the entire sequence, we refer to it as a proper subsequence. That is, every subsequence except for the sequence itself is a proper subsequence. In the same vein, a proper subset of a set is a subset not equal to that set.