Sequences and series

Which of the following sequences of numbers is a geometric sequence?

• 5, 25, 125, 625,...

• 5, 25, 45, 65,...

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CCSS.HSF.BF.A.2

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CCSS.HSF.BF.A.2

Identify the common difference in the given arithmetic sequence.

10, 20, 30, 40, ...

• 5

• 10

• 15

• 20

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CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 2(100)^n-1
• a_n = 100(2)^n-1
• a_n = 100(1/2)^n-1
• a_n = (1/2)(100)^n-1

Tags

CCSS.HSF.BF.A.2

• -3

• +5

• -2

• +1

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CCSS.HSF.BF.A.2

Describe the pattern and write the numeric sequence for the first 6 terms.

• Multiply by 3 each time.

• Add 3 each time.

• 5, 15, 45, 135, 405, 1215

• 5, 10, 15, 20, 25, 30, 35

Tags

CCSS.HSF.BF.A.2

The first term of a geometric sequence is 5 and the sixth term is 160.

What is the common ratio?

(a)  

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CCSS.HSF.BF.A.2

Identify the common difference. 97, 86, 75, 64, ...

** Remember this is just what the sequence is increasing or decreasing by not the whole equation!

(a)  

Tags

CCSS.HSF.BF.A.2

What are missing terms in this sequence?

5, __, __, 26

• 11,20

• 13,23

• 9,29

• 12,19

Tags

CCSS.HSF.BF.A.2

Extend the pattern.

10, 20, 30, _____,____,_____

• 40, 50, 60

• 34, 39, 44

• 40, 42, 44

• 20, 10, 5

Tags

CCSS.HSF.BF.A.2