1. Lesson: Series/ Sequences

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

4. 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”

10. 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

11. 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

12. 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

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

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