A sequence is an ordered list of numbers, also known as terms. A sequence can have a finite or an infinite number of terms. An arithmetic sequence is a sequence in which the difference between consecutive terms is constant. This constant is referred to as the common difference. A geometric sequence is a sequence in which the ratio between consecutive terms is constant. This ratio is known as the common ratio of the sequence.
The terms of both arithmetic and geometric series can be described using explicit rules. These rules are introduced and it is shown how to find the rule for a sequence for which the individual terms are known.
In addition to reviewing both arithmetic and geometric sequences, this chapter also introduces the concept series. Series is the sum of the terms in a sequence. Formulas for finding the sums of both arithmetic and geometric series are introduced and explained. For the sum of geometric series it is shown that the formula in special cases may be used to find the sum of infinite series.
Mathleaks e-Courses is a digital curriculum following the common core. It can be used as a stand-alone curriculum or as a supplement to other textbooks. The e-Courses consist of theory with animated instructions, problem solving exercises with solutions, practice tests, videos, and printable worksheets.