1. Click the mouse button or press the Space Bar to display the answers.
Transparency 6

2. Splash Screen

3. Recognize and extend sequences
Objective
Recognize and extend sequences
Example 6-3b

4. A list of numbers in a specific order
Vocabulary
Sequence
A list of numbers in a specific order
Example 6-3b

5. Example 1 Extend a Sequence by Adding
Example 2 Extend a Sequence by Multiplying
Example 3 Use Sequences to Solve a Problem
Lesson 6 Contents

6. Describe the pattern. Then find the next two numbers in the sequence.
Write the sequence
Determine the pattern
24, 30, 36, 42, …
Each number is 6 more than the number before it.
= 48
Determine the next 2 numbers
= 54
Answer: Add 6 ; 48 and 54
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Example 6-1a

7. Describe the pattern. Then find the next two numbers in the sequence.
17, 21, 25, 29, …
Answer: Add 4; 33, 37
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Example 6-1b

8. Describe the pattern. Then find the next two numbers in the sequence.
Write the sequence
Determine the pattern
4, 20, 100, 500, …
Each number is 5 times more than the number before it.   
500  5 = 2,500
Determine the next 2 numbers
2,500  5 = 12, 500
Answer: Multiply by 5; 2,500 and 12,500
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Example 6-2a

9. Describe the pattern. Then find the next two numbers in the sequence.
7, 28, 112, 448, …
Answer: Multiply each number by 4; 1,792, 7,168
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Example 6-2b

10. Each number is 3 times more than the number before it.
GARDENING A gardener is making a triangular pattern of tulips, starting with 4 tulips in the first row. The second row has 7 tulips, and the third row has 10. How many tulips will be in the fifth row? Write the sequence. Find the fifth number.
Write the sequence
4, 7, ,
Determine the pattern
Each number is 3 times more than the number before it.
Row 4: = 13
Determine the next 2 numbers
Row 5: = 16
Answer: Row 5: 16 tulips
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Example 6-3a

11. *
SEATING Julie is setting up a seating arrangement for a performance. She has placed 10 chairs in the first row, 14 chairs in the second row, and 18 chairs in the third row. How many chairs will be in the sixth row?
Answer: Row 6: 30 chairs
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Example 6-3b

12. Patterns and Functions:
Assignment
Lesson 7:6
Patterns and Functions:
All
Sequences
End of Lesson 6