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Describe and Extend Sequences

Describe the relationship between the terms in the sequence 21, 19, 17, 15 … Then write the next three terms in the sequence.

Each term is found by subtracting 2 from the previous term. Continue the pattern to find the next three terms.

Answer: The next three terms are 13, 11, and 9.

15 - 2 = 13 13 - 2 = 11 11 - 2 = 9

-221, 19, 17, 15

-2 -2

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1. A

2. B

3. C

4. D

A. add 3; 28, 31, 34

B. subtract 3; 22, 19, 16

C. subtract 4; 21, 17, 13

D. Subtract 2; 23, 21, 19

Describe the relationship between the terms in the sequence 34, 31, 28, 25… Then write the next three terms in the sequence.

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Describe and Extend Sequences

Describe the relationship between the terms in the sequence 2, 6, 18, 54… Then write the next three terms in the sequence.

Each term is found by multiplying 3 to the previous term. Continue the pattern to find the next three terms.

Answer: The next three terms are 162, 486, and 1458.

54 • 3 = 162 162 • 3 = 486 486 • 3 = 1458

•3

2, 6, 18, 54

•3 •3

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Describe and Extend Sequences

Describe the relationship between the terms in the sequence 2, 6, 18, 54… Then write the next three terms in the sequence.

Each term is found by dividing 3 to the previous term. Continue the pattern to find the next three terms.

Answer: The next three terms are 9, 3, and 1.

27 ÷ 3 = 9 9 ÷ 3 = 3 3 ÷ 3 = 1

÷3

729, 243, 81, 27

÷3 ÷3

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1. A

2. B

3. C

4. D

A. Divide by 2; 16, 8, 4

B. Subtract 4; 28, 24, 20

C. Divide by 8; 4, 0.5, 0.0625

D. Divide by 4; 8, 2, 0.5

Describe the relationship between the terms in the sequence 2,048, 512, 128, 32, … Then write the next three terms in the sequence.

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1. A

2. B

3. C

4. D

A. Add 96; 288, 384, 480

B. Multiply by 4; 512, 2,048, 8,192

C. Multiply by 2; 256, 512, 1,024

D. Add 6; 134, 140, 146

Describe the relationship between the terms in the sequence 2, 8, 32, 128, … Then write the next three terms in the sequence.

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End of the Lesson