Quiz about Arithmetic and Geometric Sequences and Series Review

Question 1

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

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 2

Create the formula for the sequence:
2, 8, 14, ...

Accepted Answer

an=6n-4

Answer

an=2+6n

Answer

an=-6+6n

Answer

an=4-6n

Question 3

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

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 4

Identify the common difference.
-21, -18, -15, -12, ...

Accepted Answer

3

Answer

4

Answer

-4

Answer

-3

Question 5

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

Accepted Answer

-11

Answer

8

Answer

11

Answer

-8

Question 6

Identify the common difference.
3, 7, 11, 15, ...

Accepted Answer

4

Answer

6

Answer

5

Answer

2

Question 7

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 8

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

Accepted Answer

-146

Answer

81

Answer

-34

Answer

-225

Question 9

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

Accepted Answer

a_n= -4n + 29

Answer

a_n = 4n + 29

Answer

a_n = -4n + 25

Answer

a_n = 4n + 25

Question 10

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Accepted Answer

19, 23, 27

Answer

18, 22, 26

Answer

19, 21, 23

Answer

18, 21, 24

Question 11

What is the distance from one number to the next in a sequence of numbers that is represented by a (d) in an arithmetic sequence?

Accepted Answer

Common difference

Answer

Common denominator

Answer

Common opposites

Answer

Common domain

Question 12

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

Accepted Answer

16 and 19

Answer

15 and 19

Answer

16 and 18

Answer

15 and 18

Question 13

The next term of the sequence 2,4,8,16 are

Accepted Answer

32

Answer

64

Answer

108

Answer

20

Question 14

The next two terms of the sequence 12,17,22,27 are

Accepted Answer

27 and 32

Answer

28 and 33

Answer

29 and 34

Answer

30 and 35

Question 15

The pattern followed by the sequence 3,6,9,12 is...

Accepted Answer

Multiple of 3

Answer

prime no.s

Answer

odd no.s

Answer

multiple of 6

Question 16

The next term of the series 4,16,64 is

Accepted Answer

256

Answer

132

Answer

120

Answer

150

Question 17

The next term of the series 11,8,5,2 are

Accepted Answer

-1

Answer

-2

Answer

1

Answer

2

Question 18

Is the sequence geometric or arithmetic?
3, 6, 9, 12...

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 19

Is the sequence geometric or arithmetic?
6, 18, 54...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 20

What is the common ratio for the sequence:
3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Question 21

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

Accepted Answer

a_n = 11(2)^n-1

Answer

a_n = 2(11)^n-1

Answer

an = 11x2

Question 22

What is the common difference of this sequence?

Accepted Answer

3

Answer

4

Answer

7

Answer

1

Question 23

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

Accepted Answer

2

Answer

4

Answer

3

Answer

6

Question 24

Which formula is used to find the explicit equation for arithmetic sequences?

Accepted Answer

a_n = a₁ + d(n-1)

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ * r^n-1

Question 25

Which formula is used to find the recursive equation for arithmetic sequences?

Accepted Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Answer

a_n = a₁ * r^n-1

Question 26

Which formula is used to find the explicit equation for geometric sequences?

Accepted Answer

a_n = a₁ * r^n-1

Answer

a_n = a_n-1 + d

Answer

a_n = a_n-1 * r

Answer

a_n = a₁ + d(n-1)

Question 27

Which formula is used to find the recursive equation for geometric sequences?

Accepted Answer

a_n = a_n-1 * r

Answer

a_n = a_n-1 + d

Answer

a_n = a₁ + d(n-1)

Answer

a_n = a₁ * r^n-1

Question 28

What is the explicit formula the following arithmetic sequence?

Accepted Answer

3n

Answer

3(2)n-1

Answer

2(3)n-1

Answer

3 + 3n

Arithmetic and Geometric Sequences and Series Review

28 questions

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

Create the formula for the sequence:
2, 8, 14, ...

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

Identify the common difference.
-21, -18, -15, -12, ...

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

Identify the common difference.
3, 7, 11, 15, ...

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

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

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

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Arithmetic and Geometric Sequences and Series Review

28 questions

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

Create the formula for the sequence:2, 8, 14, ...

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

Identify the common difference.-21, -18, -15, -12, ...

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

Identify the common difference.3, 7, 11, 15, ...

Find the 32nd term of this sequence.34, 37, 40, 43, ...

Find the 32nd term of this sequence.9, 4, -1, -6, -11, ...

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

What are the next 3 terms in this sequence of terms? 3, 7, 11, 15

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

Create the formula for the sequence:
2, 8, 14, ...

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

Identify the common difference.
-21, -18, -15, -12, ...

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

Identify the common difference.
3, 7, 11, 15, ...

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

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