Arithmetic & Geometric Sequence

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.IF.A.3

CCSS.HSF.LE.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

CCSS.HSF.LE.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

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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.HSF.IF.A.3

Describe the relationship between the terms in the arithmetic sequence 
4, 8, 12, 16

• Subtracting 4 to the previous term
• Adding 4 to the previous term
• Multiplying by 2 to the previous term
• Dividing each term by 2

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CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Describe the relationship between the terms in the arithmetic sequence 
15, 30, 45, 60

• Adding 15 to the previous term
• Subtracting 15 to the previous term 
• Multiplying each term by 3
• Dividing the previous term by 2

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CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Describe the relationship between the terms in the arithmetic sequence 
15, 12, 9, 6

• Adding 3 to the previous term
• Subtracting 3 to the previous term
• Dividing the previous term by 3
• Multiplying the previous term by 3

Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16

• Multiplying the previous term by 2. 
• Adding by 2 to the previous term. 
• Subtracting the previous term by 4
• Multiplying the previous term by 4

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CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81

• Multiplying the previous term by 2
• Multiplying the previous term by 3
• Dividing the previous term by 3
• Adding 3 to the previous term

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CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Describe the relationship between the terms in the geometric sequence
4, 16, 64, 256

• Adding 12 to the previous term. 
• Multiplying the previous term by 3
• Multiplying the previous term by 4
• Multiplying the previous term by 6

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CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2