Arithmetic / Geometric Sequences and Partial Sums

In a geometric sequence, what does r represent?

• Radical

• Common difference

• Common ratio

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CCSS.HSF.BF.A.2

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75

• Yes
• No

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CCSS.HSF.BF.A.2

The next two terms of the sequence 4,7,10,13 are

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

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CCSS.HSF.BF.A.2

Identify the common difference. 
10, 20, 30, 40, ...

• 5
• 10
• 15
• 20

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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

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

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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

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

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CCSS.HSF.BF.A.2

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

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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