Arithmetic and Geometric Sequences

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CCSS.HSF.BF.A.2

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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CCSS.HSF.BF.A.2

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic

• Geometric

• Neither

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CCSS.HSF.BF.A.2

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

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CCSS.HSF.BF.A.2

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

• Neither

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CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

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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 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

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CCSS.HSF.BF.A.2

What is a₅ in the sequence defined as follows?
a_n = 5 ⋅ 2^(n-1) 

• a₅ = 160

• a₅ = 40

• a₅ = 10

• a₅ = 80

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CCSS.HSF.BF.A.2

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

• 25

• 20

• 5

• 4

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CCSS.HSF.BF.A.2