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An arithmetic sequence is a sequence of numbers such that the difference between successive terms is a constant. This constant is called the common difference and is usually denoted by d.
If the first term is a, then the iterative definition of the sequence is
U(1) = a, and
U(n+1) = U(n) + d for n = 1, 2, 3, ...
Equivalently, the position-to-term rule which defines the sequence is
U(n) = a + (n-1)*d for n = 1, 2, 3, ...
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