Turn to the back page in your Turn to the back page in your little green book.little green book.

Add these vocab words:Add these vocab words:

When you add or subtract to get the next term in a sequence

Sequence

Term

Common Difference

Arithmetic Sequence

The same number is added or subtracted

An individual number in a sequence

A set of numbers in a certain order

Objective:Determine if a sequence is arithmetic and find the next term in a sequence.

Lesson 4-7

VocabularyVocabulary(put this on your note sheet)(put this on your note sheet)

Arithmetic Sequence:Arithmetic Sequence:

A sequence (list) of numbers with a A sequence (list) of numbers with a common differencecommon difference

Common Difference:Common Difference:

The number that is added to a number in The number that is added to a number in the sequence to get the next numberthe sequence to get the next number

21, 24, 27, 30…

Arithmetic sequence

+3 +3+3Common difference

Terms

33 36

Determine whether –15, –13, –11, –9, ... is arithmetic.Justify your answer.

–15 –13 –11 –9

+2

Answer: There is a common difference of 2. This sequence IS arithmetic.

+2 +2

Example 1

Determine whether each sequence is arithmetic.a. 2, 4, 8, 10, 12, ...

b. 5.9, 5.5, 5.1, 4.7, ….

Answer: This is NOT an arithmetic sequence.

Answer: This IS an arithmetic sequence.

2 4 8 10 12

+2 +4 +2 +2

5.9 5.5 5.1 4.7

-0.4 -0.4 -0.4

Find the next three terms of the arithmetic sequence. –8, –11, –14, –17, ...

–8 –11 –14 –17

–3 –3 –3 The common difference is –3.

-8 -11 -14 -17

–3

Answer: The next three terms are –20, –23, –26.

Find the common difference

Example 2

Continue this pattern:

-20

–3

-23

–3

-26

Find the next three terms of the arithmetic sequence. 5, 12, 19, 26, ...

Answer: 33, 40, 47

5 12 19 26

+7 +7 +7

How did we get this answer??

The common difference is 7.

+7

33

+7

40

+7

47

Next, you should:Next, you should:1.1. Copy the assigned problems down from the next slideCopy the assigned problems down from the next slide2.2. Go to the Glenco website (log in directions are on the Go to the Glenco website (log in directions are on the

course syllabus)course syllabus)3.3. For chapter 4, complete the self check quizzes for For chapter 4, complete the self check quizzes for

sections sections 4.34.3 4.4 4.4 4.54.5 4.64.6 4.74.7

4.4. E-mail your results for each to E-mail your results for each to lynne@westottawa.netlynne@westottawa.net5.5. Complete the assignment from your bookComplete the assignment from your book

For each of these quizzes, SHOW YOUR WORK on your note page from today

Assignment:Assignment:1.1. Lesson 4-7, p. 236 #15-26Lesson 4-7, p. 236 #15-262.2. Go to the Glenco website and complete the Go to the Glenco website and complete the

StronglyStrongly Recommended: Recommended: 2. Chapter 4 Study Guide and Review, p. 2462. Chapter 4 Study Guide and Review, p. 246#17-20, 24, 26, 28, 31, 34, 37-41, 46, 50#17-20, 24, 26, 28, 31, 34, 37-41, 46, 50

Chapter 4 Test: MondayChapter 4 Test: Monday*** If you want to check out fun links such as Coolmath.com, you

must :1. Show both completed assignments above2. Complete all 5 self check quizzes from Glenco and e-mail results

to Mrs. Lynn at lynne@westottawa.net