Arithmetic and Geometric Sequence

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

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

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CCSS.HSF.BF.A.2

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

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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

Is the sequence 7, 9, 12, 16,... geometric?

• yes
• no

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CCSS.HSF.BF.A.2

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

• Arithmetic
• Geometric
• Neither

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CCSS.HSF.BF.A.2

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

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CCSS.HSF.BF.A.2

Identify the common difference or ratio.

3, 7, 11, 15, ...

• Ratio, -4

• Difference, -4

• Difference, 4

• Ratio, 4

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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 explicit rule for the sequence:
11, 22, 44, 88...

• u_n = 2(11)^n-1
• u_n = 11(2)
• u_n = 11(2)^n-1

Tags

CCSS.HSF.BF.A.2