Geometric Sequence Pattern

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

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CCSS.HSF.BF.A.2

Is the sequence-4, -12, -36, -108,... arithmetic geometric, or neither?

• arithmetic

• geometric

• neither

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CCSS.HSF.BF.A.2

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

• 64

• 32

• 108

• 20

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CCSS.HSF.BF.A.2

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

• 2

• 4

• 6

• 8

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CCSS.HSF.BF.A.2

Name the Sequence:

300, 150, 75, 37.5.....

• A. Arithmetic

• B. Geometric

• C. Recursive

• D. Explicit

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CCSS.HSF.BF.A.2

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

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CCSS.HSF.BF.A.2

What is the fifth term for the sequence below?

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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CCSS.HSF.BF.A.2