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Discrete Algebra - Sequences and Series Arithmetic Progression An arithmetic progression is a sequence in which each term (after the first) is determined by adding a constant to the preceding term. This constant is called the common difference of the arithmetic progression. An arithmetic progression can be defined as follows: The arithmetic progression { an } = a1, a2, a3, ...., an , where n = 1, 2, 3, . . . Its terms are determined by the equation: an = a1 + (n - 1)d, where a1 is the first term of the arithmetic progression an is the nth term of the arithmetic progression n is the term number d is the common difference of the arithmetic progression The sum of the first n terms of an arithmetic progression is calculated as Sn = n ( a1 + an ) / 2 or Sn = n ( 2a1 + (n - 1)d ) / 2 where an = a1 + (n - 1)d EX....

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