Lesson: Series/ Sequences

Series may be presented in many ways: Description in words Drawing Table of Value Graph

Series continued: In the series: 5, 10, 20, 40, 80, …. Series/sequences follow patterns that allows you to describe the series. In the series: 5, 10, 20, 40, 80, …. The pattern: each term is obtained by multiplying the previous term by 2 or “ x 2”

Series as a table Rank: indicates the position a term is associated with in the series. (the rank tells you where the term is) Rank(x) Term(y) 1 2 4 3 6 8 5 10

Examples: Determine the pattern. The first term is 3 and each of the following terms is equal to the square of the preceding. Rank(x) Term(y) 1 3 2 9 4 5 6

Arithmetic Progression A series where the difference between the two consecutive terms is constant (the two terms beside one another). Ex. The series: 11, 14, 17, 20, 23, … The common difference is = 3 Rank(x) 1 2 3 4 … Term(y) 11 14 17 20

Example: Determine the pattern Term(y) Rank(x)

Make a table Rank(x) Term(y) 1 2 3 4