![]() That is, each subsequent term is found by multiplying the previous term by the common ratio.Īs for the sum of these progressions it is best to remember how to find the sums rather than to memorize formulas. Whereas the arithmetic sequence has a common difference, d, between the terms, a geometric sequence has a common ratio, r. An arithmetic series is one where each term is equal the one before it plus some number. It’s important to be able to identify what type of sequence is being dealt with. Ī geometric sequence, also called a geometric progression, also begins with a fixed number, a, and then each subsequent term is found by multiplying by a constant value, r, called the common ratio. The two main types of series/sequences are arithmetic and geometric. ![]() General Form: a, a + d, a + 2d, a + 3d +. There is a digital version (assigned through Easel) and a hard copy version. If the rule is to multiply or divide by a specific number each time, it is called a geometric sequence. In this arithmetic and geometric sequences coloring activity, students will practice identifying whether a sequence is arithmetic, geometric, or neither, as well as identify the common difference and /or common ratio. What are the equations for geometric and arithmetic sequences?Īlso, what are the equations for finding the sums of those series?Īn arithmetic sequence, also called an arithmetic progression, is a sequence that begins with a fixed number, a, and then each subsequent term is found by adding a constant value, d, called the common difference. Number sequences are sets of numbers that follow a pattern or a rule.
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