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Objective
Recognize and extend sequences
Vocabulary
Sequence
A list of numbers in a specific order
Example 1 Extend a Sequence by Adding
Example 2 Extend a Sequence by Multiplying
Example 3 Use Sequences to Solve a Problem
Describe the pattern. Then find the next two numbers
in the sequence.
Write the sequence
24,
30,
36,
Determine the pattern
42, …
Each number is 6 more
than the number before it.
42 + 6 = 48
48 + 6 = 54
Determine the next 2 numbers
Answer: Add 6 ; 48 and 54
1/3
Describe the pattern. Then find the next two numbers
in the sequence.
17, 21, 25, 29, …
Answer: Add 4;
33, 37
1/3
Describe the pattern. Then find the next two numbers
in the sequence.
Write the sequence
4,
20,


100,
500, …

500  5 = 2,500
2,500  5 = 12, 500
Determine the pattern
Each number is 5 times more
than the number before it.
Determine the next 2 numbers
Answer: Multiply by 5; 2,500 and 12,500
2/3
Describe the pattern. Then find the next two numbers
in the sequence.
7, 28, 112, 448, …
Answer: Multiply each number by 4;
2/3
1,792,
7,168
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,
10,
Determine the pattern
Row 4: 10 + 3 = 13
Row 5: 13 + 3 = 16
Each number is 3 times more
than the number before it.
Determine the next 2 numbers
Answer: Row 5: 16 tulips
3/3
*
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
3/3
Assignment
Lesson 7:6 Patterns and Functions:
Sequences
8 - 18 All