Web Reference: What is an arithmetic sequence? For many of the examples above, the pattern involves adding or subtracting a number to each term to get the next term. Sequences with such patterns are called arithmetic sequences. In an arithmetic sequence, the difference between consecutive terms is always the same. Consider the sequence 3, 6, 9, 12, 15, .... is an arithmetic sequence because every term is obtained by addinga constant number (3) to its previous term. Here, 1. The first term, a = 3 2. The common difference, d = 6 - 3 = 9 - 6 = 12 - 9 = 15 - 12 = ... = 3 Thus, an arithmetic sequence can be written as a, a + d, a + 2d, a + 3d, .... Let us verify ... Arithmetic sequences are a key idea in math where each number in the sequence is a certain amount larger than the one before it. This article will help you understand what makes a sequence arithmetic and how to describe them using two different methods: explicit and recursive.
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