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Slide 2 Choi 2012 Slide 3 Arithmetic Sequence A sequence like 2, 5, 8, 11,, where the difference between consecutive terms is a constant, is called an arithmetic sequence. In an arithmetic sequence, the first term t1, is denoted as a. Each term after the first is found by adding a constant, called the common difference, d, to the preceding term. The list then becomes. {a, a+d, a+2d, a+3d,...} Slide 4 Arithmetic Sequences Formulas In general: {a, a+d, a+2d, a+3d,...} Slide 5 Example 1 Arithmetic Sequence Given the formula for the term, find. Slide 6 Example 2 Finding Formula for the nth term Find the formula for the term,, and find that determines the following arithmetic sequence {8, 12, 16, 20,...}. n n 19 Explicit formula Method 2