Arithmetic Sequence
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a sequence in which each term is found by adding the same number
If the amount being added each time is d and if the first term is a, then t(n) = a + (n-1)*d
That's an arithmetic sequence.
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
Each stair is the same as the one next to it. An arithmetic sequence shows numbers with even spacing (such as 2,4,6 or 5,10,15)