Arithmetic and Geometric Sequences

What is a sequence?

• An order of the same numbers.
• A list of numbers in a specific order. 
• A list of numbers always decreased.
• An order of numbers with no relation. 

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CCSS.HSF.BF.A.2

How is an arithmetic sequence found?

• By multiplying the same number to the previous term. 
• By adding the same number to the previous term.

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CCSS.HSF.BF.A.2

How is an geometric sequence found?

• By adding the same number to the previous term.
• By multiplying the previous term by the same number. 

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CCSS.HSF.BF.A.2

What is a term? 

• Each number in the sequence. 
• Each variable in the sequence. 
• Each number or variable in the sequence. 

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CCSS.6.EE.A.2B

The next term of the sequence 2,4,8,16 are

• 64
• 32
• 108
• 20

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic
• Geometric
• Neither

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CCSS.HSF.BF.A.2

5, 15, 45, 135 is a ...

• Geometric sequence with r = 3

• Geometric sequence with r = 1/3

• Arithmetic sequence with d = 10

• Arithmetic sequence with d = 3

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CCSS.HSF.BF.A.2

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

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CCSS.HSF.BF.A.2

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

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CCSS.HSF.BF.A.2