In a(n) sequence, the difference between every pair of consecutive terms in the sequence is the same.

in an arithmetic sequence, the difference between every pair of consecutive terms in the sequence is the same.

for example, the sequence {1, 3, 5, 7, 9, } has us increasing each term by 2. subtract the terms that are next to one another

3-1 = 2

5-3 = 2

7-5 = 2

9-7 = 2

we get the same difference (2) each time. we call this a common difference.

side note: some math books use the term "arithmetic progression (ap)" in place of "arithmetic sequence"

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