3, 9, 15, 22, ... Is this sequence arithmetic , geometric , or neither ?

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

arithmetic (common difference d = 6)

5, 15, 45, 135 is a ...

Geometric sequence with r = 1/3

Arithmetic sequence with d = 10

What is the difference between an arithmetic sequence and a geometric sequence?

One has a common difference and one has a common ratio.

One is the sum of the numbers and one is just a list of numbers.

One you can write an nth term and one you cannot.

Which of the following are arithmetic sequences? Select all that apply.

− 7 , − 2 , 3 , 8 , . . . -7,\ -2,\ 3,\ 8,\ ... − 7 , − 2 , 3 , 8 , . . .

18 , 14 , 10 , 6 , . . . 18,\ 14,\ 10,\ 6,\ ... 1 8 , 1 4 , 1 0 , 6 , . . .

15 , 18 , 22 , 27 , . . . 15,\ 18,\ 22,\ 27,\ ... 1 5 , 1 8 , 2 2 , 2 7 , . . .

2 , 4 , 8 , 16 , . . . 2,\ 4,\ 8,\ 16,\ ... 2 , 4 , 8 , 1 6 , . . .

108 , 36 , 12 , 4 , . . . 108,\ 36,\ 12,\ 4,\ ... 1 0 8 , 3 6 , 1 2 , 4 , . . .

Which of the following are geometric sequences? Select all that apply.

− 4 , 8 , − 16 , 32 , . . . -4,\ 8,\ -16,\ 32,\ ... − 4 , 8 , − 1 6 , 3 2 , . . .

5 , 15 , 45 , 135 , . . . 5,\ 15,\ 45,\ 135,\ ... 5 , 1 5 , 4 5 , 1 3 5 , . . .

216 , 36 , 6 , 1 , . . . 216,\ 36,\ 6,\ 1,\ ... 2 1 6 , 3 6 , 6 , 1 , . . .

3 , 6 , 9 , 12 , . . . 3,\ 6,\ 9,\ 12,\ ... 3 , 6 , 9 , 1 2 , . . .

1 , 3 , 12 , 60 , . . . 1,\ 3,\ 12,\ 60,\ ... 1 , 3 , 1 2 , 6 0 , . . .

Determine if the sequence is arithmetic, geometric, or neither. If it is arithmetic, identify the common difference. If it is geometric, identify the common ratio. 8 , − 24 , 72 , − 216 , . . . 8,\ -24,\ 72,\ -216,\ ... 8 , − 2 4 , 7 2 , − 2 1 6 , . . .

Geometric; r = − 3 r=-3 r = − 3

Arithmetic; d = − 3 d=-3 d = − 3

Determine if the sequence is arithmetic, geometric, or neither. If it is arithmetic, identify the common difference. If it is geometric, identify the common ratio. 2 , 4 , 8 , 16 , . . . 2,\ 4,\ 8,\ 16,\ ... 2 , 4 , 8 , 1 6 , . . .

Geometric; r = 1 2 r=\frac{1}{2} r = 2 1

Given the sequence: 3125 , − 625 , 125 , − 25 , . . . 3125,\ -625,\ 125,\ -25,\ ... 3 1 2 5 , − 6 2 5 , 1 2 5 , − 2 5 , . . . Identify the common difference OR common ratio.

r = − 1 5 r=-\frac{1}{5} r = − 5 1

d = − 1 5 d=-\frac{1}{5} d = − 5 1

UNIT 10 Lesson 1 Intro to Sequences

Authored by Crystal Minott

Mathematics

9th Grade

CCSS covered

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33 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Is the sequence arithmetic?
17, 9, 1, -7, ...

Yes

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the sequence 10, 20, 30, 40.........

Multiply by 10

Add 10

Multiply by 2

Tags

CCSS.3.OA.D.9

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48

yes, 2

yes, -2

yes, 4

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

-1, 7, 15

-5, 2, 9

3, 12, 21

-65, -73, -81

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

Arithmetic

Geometric

Neither

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

225,75,25,8.33

Geometric sequence with a common ratio of 1/3

Geometric sequence with a common ration of 3

Arithmetic sequence with a common difference of 58

Common difference of 3

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Decide if the sequence is arithmetic, geometric or neither:
1, 1, 2, 3, 5, 8, 13

Arithmetic

Geometric

Neither

Tags

CCSS.HSF.BF.A.2

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UNIT 10 Lesson 1 Intro to Sequences

Is the sequence arithmetic?
17, 9, 1, -7, ...

Find the sequence 10, 20, 30, 40.........

Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

225,75,25,8.33

Decide if the sequence is arithmetic, geometric or neither:
1, 1, 2, 3, 5, 8, 13

Which of the following is not an arithmetic sequence?

Identify the common difference of the sequence below:
-2.3, -1.1, 0.1, 1.3,...

3, 9, 15, 22, ...
Is this sequence arithmetic, geometric, or neither?

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Discover more resources for Mathematics

UNIT 10 Lesson 1 Intro to Sequences

Is the sequence arithmetic? 17, 9, 1, -7, ...

Find the sequence 10, 20, 30, 40.........

Is the sequence geometric? If so, identify the common ratio. 6, 12, 24, 48

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

225,75,25,8.33

Decide if the sequence is arithmetic, geometric or neither:1, 1, 2, 3, 5, 8, 13

Which of the following is not an arithmetic sequence?

Identify the common difference of the sequence below:-2.3, -1.1, 0.1, 1.3,...

3, 9, 15, 22, ...Is this sequence arithmetic, geometric, or neither?

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Is the sequence arithmetic?
17, 9, 1, -7, ...

Is the sequence geometric? If so, identify the common ratio.
6, 12, 24, 48

Decide if the sequence is arithmetic, geometric or neither:
1, 1, 2, 3, 5, 8, 13

Identify the common difference of the sequence below:
-2.3, -1.1, 0.1, 1.3,...

3, 9, 15, 22, ...
Is this sequence arithmetic, geometric, or neither?