Arithmetic and Geometric Sequence

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

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CCSS.HSF.BF.A.2

Is this sequence Arithmetic, Geometric, or Neither?
{14, 22, 30, 38, .. }

• Arithmetic

• Geometric

• Neither

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

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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

Tags

CCSS.HSF.BF.A.2

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

• 14

• 20

• 26

• 29

Tags

CCSS.HSF.BF.A.2

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

• 14

• 68

• 63

• 71

Tags

CCSS.HSF.BF.A.2

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

Tags

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

Tags

CCSS.HSF.BF.A.2

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

• -4

• 10

• -122

• 174

Tags

CCSS.HSF.BF.A.2

Which kind of sequence has a common ratio?

• Arithmetic

• Geometric

Tags

CCSS.HSF.BF.A.2