Chapter 9 ex 9.1 presentation with objectives

Ch 9

1. Ch 9 Sequences, surds and sets 9.1

2. Learning intentions describe the rule for continuing a sequence find the nth term of some sequences use the nth term to find terms from later in a sequence generate and describe sequences from patterns of shape

3. Getting started

4. Sequence A sequence is a set of numbers that follow a particular order. Each number in a sequence is called a term . Terms that follow each other in a sequence are called as consecutive terms. The position of a term is given using T so T 1 is the first term, T n is any term . Term in a sequence usually follow a rule. You can use the rule for a sequence to workout which term comes next.

5. Different types of sequences

6. Point to ponder! All sequences are limited to those that only involve one basic operation -addition, subtraction, multiplication or division. True or False? False Think about this sequence 0, 1, 1, 2, 3, 5, 8, . What do you think the rule is? It is where each term is the sum of the two preceding terms

7. Term to term rule A rule which tells you how to generate the next term of the sequence

8. Position to term rule It provides a direct way to find any term in a sequence based on its position without needing to know the previous terms. In contrast, the term-to-term rule requires knowledge of the preceding terms to calculate the next term

9. Finding nth term If there is common difference between the terms a n = a + (n-1)d

10. Finding nth term If there is no common difference between the terms

11. Finding nth term

12. Exponential Sequence

13. Generating sequences from patterns