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That's an arithmetic sequence.
a sequence in which each term is found by adding the same number
That depends what the pattern of the sequence is.
a sequence of a story is like what happened first, second, third etc
It is the sequence of first differences. If these are all the same (but not 0), then the original sequence is a linear arithmetic sequence. That is, a sequence whose nth term is of the form t(n) = an + b