Quiz about Arithmetic and Geometric Sequence and Series Review

Question 1

What is a sequence?

Accepted Answer

A list of numbers in a specific order.

Answer

An order of the same numbers.

Answer

A list of numbers always decreased.

Answer

An order of numbers with no relation.

Question 2

How is an arithmetic sequence found?

Accepted Answer

By adding the same number to the previous term.

Answer

By multiplying the same number to the previous term.

Question 3

How is an geometric sequence found?

Accepted Answer

By multiplying the previous term by the same number.

Answer

By adding the same number to the previous term.

Question 4

What is a term?

Accepted Answer

Each number in the sequence.

Answer

Each variable in the sequence.

Answer

Each number or variable in the sequence.

Question 5

Describe the relationship between the terms in the arithmetic sequence
4, 8, 12, 16

Accepted Answer

Adding 4 to the previous term

Answer

Subtracting 4 to the previous term

Answer

Multiplying by 2 to the previous term

Answer

Dividing each term by 2

Question 6

Describe the relationship between the terms in the arithmetic sequence
15, 30, 45, 60

Accepted Answer

Adding 15 to the previous term

Answer

Subtracting 15 to the previous term

Answer

Multiplying each term by 3

Answer

Dividing the previous term by 2

Question 7

Describe the relationship between the terms in the geometric sequence
2, 4, 8, 16

Accepted Answer

Multiplying the previous term by 2.

Answer

Adding by 2 to the previous term.

Answer

Subtracting the previous term by 4

Answer

Multiplying the previous term by 4

Question 8

Describe the relationship between the terms in the geometric sequence
3, 9, 27, 81

Accepted Answer

Multiplying the previous term by 3

Answer

Multiplying the previous term by 2

Answer

Dividing the previous term by 3

Answer

Adding 3 to the previous term

Question 9

What 3 terms come next in the sequence?
4, 8, 12, 16

Accepted Answer

20, 24, 28

Answer

12, 8, 4

Answer

24, 28, 20

Answer

20, 22, 24

Question 10

What 2 terms come next in the sequence?
15, 12, 9, 6

Accepted Answer

3, 0

Answer

6. 3, 0

Answer

3, 6

Answer

6, 3

Question 11

What 3 terms come next in the sequence?
2, 4, 8, 16

Accepted Answer

32, 64, 128

Answer

18, 20, 22

Answer

24, 28, 32

Answer

32, 60, 120

Question 12

Is this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 13

Is this sequence Arithmetic, Geometric, or Neither?
{2, 9, 7, 14, 12, 19, ... }

Accepted Answer

Neither

Answer

Arithmetic

Answer

Geometric

Question 14

What is the common difference in this sequence?
{48, 32, 16, 0, ... }

Accepted Answer

-16

Answer

1/2

Answer

2

Answer

-8

Question 15

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

Accepted Answer

Arithmetic

Answer

Geometric

Answer

Neither

Question 16

What is the common ratio in this sequence?
{96, 48, 24, 12, ... }

Accepted Answer

1/2

Answer

2

Answer

12

Answer

24

Question 17

What kind of sequence is illustrated below?
400, 200, 100, 50, 25, ...

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 18

What is the common ratio of the geometric sequence below?
5, 25, 125, 625...

Accepted Answer

5

Answer

25

Answer

20

Answer

4

Question 19

What is the common difference of the arithmetic sequence below?
-6, -1, 4, 9...

Accepted Answer

5

Answer

-5

Answer

-6

Answer

1/5

Question 20

in the arithmetic sequence 6, 12, 18, 24..., which term is 120?

Accepted Answer

20

Answer

100

Answer

30

Answer

10

Question 21

Insert two arithmetic means of 55 and 118.

Accepted Answer

76 and 97

Answer

80 and 82

Answer

70 and 100

Answer

78 and 96

Question 22

Which arithmetic sequence best follows the sequence
-5, -3, -1, 1, 3, 5...

Accepted Answer

-5 +2(n-1)

Answer

2 -5(n-1)

Answer

-5(2)n-1

Answer

2(-5)n-1

Question 23

What formula best represents the sequence
14, 1, -12, -25, -38,

Accepted Answer

a_n= 14 - 13(n-1)

Answer

a_n= 14 + 13(n-1)

Answer

a_n= 14( -13)^(n-1)

Answer

a_n= 14(13)^(n-1)

Question 24

Calculate the final sum/total of the series.

Accepted Answer

9

Answer

6

Answer

21

Answer

2

Question 25

Question 25.

Accepted Answer

196

Answer

392

Answer

49

Answer

254

Question 26

Evaluate S_n:

28 + 35 + 42 + 49 + ..., n = 10

(Hint: is this arithmetic or geometric?)

Accepted Answer

595

Answer

2384

Answer

1192

Answer

1190

Question 27

Evaluate S₈:

2 + 6 + 10 + 14 + ...

Accepted Answer

128

Answer

494

Answer

256

Answer

255

Question 28

Evaluate S₁₂ for the arithmetic series where:

a₁=?, a₁₂=48, and d=4

Accepted Answer

312

Answer

310

Answer

620

Answer

624

Question 29

What is the sum of the first 10 terms for the following geometric series:
1+1/2+1/4+1/8+1/16+...

Accepted Answer

1.998

Answer

0.999

Answer

0.002

Answer

9.8

Question 30

Find the sum of a geometric series where

a₁=4, r = -2 , a_n = 16,384

Accepted Answer

10,924

Answer

-10,921.3333333

Answer

10,922

Answer

-10,924

Question 31

Evaluate sum S₈:

a₁=?, a₈=839,808, r= -6

Accepted Answer

719835

Answer

717456

Answer

665624

Answer

668938

Question 32

Evaluate the Arithmetic Series

Accepted Answer

100

Answer

105

Answer

210

Answer

420

Question 33

Find the sum for the following series.

Accepted Answer

1.49

Answer

3.14

Answer

1.33

Answer

1.66

Question 34

What is the value of r for the following sequence.
1/2+1/4+1/8+1/16+...

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

-1/2

Question 35

Find the sum for the following series.

Accepted Answer

-682

Answer

44

Answer

-162

Answer

324

Question 36

Find the sum, if possible

Accepted Answer

not possible

Answer

-4/3

Answer

4/15

Answer

1

Question 37

Determine whether the sequence converges or diverges. If it converges, give the limit.

Accepted Answer

Diverges

Answer

Converges to 1

Answer

Converges to 1000

Question 38

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

Accepted Answer

127

Answer

32

Answer

64

Answer

356

Question 39

Find the 10th term of this sequence:
{96, 48, 24, 12, ... }

Accepted Answer

3/16

Answer

1/2

Answer

6

Answer

3

Question 40

Find the sum if possible

Accepted Answer

3

Answer

2/3

Answer

1/3

Answer

not possible

Arithmetic and Geometric Sequence and Series Review

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