Deck 7: Arithmetic Sequence: Common Difference and First n Terms

Question 1

Find the first six terms of the sequence.

A) 15, 21, 27, 33, 39, 45
B) 9, 6, 12, 18, 24, 30
C) 0, 6, 12, 18, 24, 30
D) 9, 15, 21, 27, 33, 39

Answer 1

D

Question 2

Answer 2

A

Question 3

Decide whether the given sequence is finite or infinite.

A) Infinite
B) Finite

Answer 3

A

Question 4

Question 5

Question 6

Question 7

Question 8

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 9

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 10

Decide whether the given sequence is finite or infinite.
10, 11, 12, 13

A) Infinite
B) Finite

Question 11

Question 12

Question 13

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 14

Decide whether the given sequence is finite or infinite.
3, 4, 5, 6, . . .

A) Finite
B) Infinite

Question 15

Decide whether the given sequence is finite or infinite.

A) Infinite
B) Finite

Question 16

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 17

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 18

Question 19

Decide whether the given sequence is finite or infinite.

A) Finite
B) Infinite

Question 20

A) 4, 8, 16, 32, 64
B) 2, 4, 8, 16, 32
C) 1, 4, 9, 16, 25
D) 1, 2, 4, 8, 16

Question 21

Evaluate the sum. Round to two decimal places, if necessary.

A) 99
B) 74
C) 41
D) 86

Question 22

Evaluate the sum. Round to two decimal places, if necessary.

Question 23

Use a graphing calculator to evaluate the series.

Question 24

Evaluate the sum using the given information.

Question 25

Evaluate the sum using the given information.

Question 26

Evaluate the sum. Round to two decimal places, if necessary.

A) 8
B) 32
C) 16
D) 30

Question 27

Evaluate the sum. Round to two decimal places, if necessary.

Question 28

Evaluate the sum using the given information.

Question 29

Evaluate the sum. Round to two decimal places, if necessary.

Question 30

Find the first six terms of the sequence.

Question 31

Evaluate the sum. Round to two decimal places, if necessary.

A) 27
B) 24
C) 30
D) 18

Question 32

Find the first six terms of the sequence.

A) 3, 4, 7, 11, 18, 29
B) 3, 4, 6, 9, 12, 15
C) 3, 4, 12, 48, 576, 27,648
D) 3, 4, 7, 8, 11, 11

Question 33

Evaluate the sum. Round to two decimal places, if necessary.

Question 34

Use a graphing calculator to evaluate the series.

Question 35

Find the first six terms of the sequence.

Question 36

Evaluate the sum. Round to two decimal places, if necessary.

Question 37

Evaluate the sum. Round to two decimal places, if necessary.

A) 18
B) 16
C) 12
D) 20

Question 38

Find the first six terms of the sequence.

A) 7, 7, 14, 14, 21, 21
B) 7, 7, 14, 21, 35, 56
C) 7, 7, 14, 21, 28, 35
D) 7, 7, 49, 343, 16,807, 5,764,801

Question 39

Evaluate the sum. Round to two decimal places, if necessary.

A) 78
B) 40
C) 21
D) 39

Question 40

Evaluate the sum using the given information.

Question 41

Evaluate the sum using the given information.

A) 0.1
B) 0.6
C) 0.5
D) 0.8

Question 42

Use the summation properties to evaluate the series. The following rules may be needed:

A) 146
B) 149
C) 154
D) 126

Question 43

Evaluate the sum using the given information.

Question 44

Evaluate the sum using the given information.

Question 45

Use the summation properties to evaluate the series. The following rules may be needed:

A) 685
B) 465
C) 1125
D) 915

Question 46

Evaluate the sum using the given information.

Question 47

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Converges
B) Diverges

Question 48

Use the summation properties to evaluate the series. The following rules may be needed:

Question 49

Write the series using summation notation.

Question 50

Use the summation properties to evaluate the series. The following rules may be needed:

Question 51

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Diverges
B) Converges

Question 52

Evaluate the sum using the given information.

A) 5.8
B) 4.8
C) 0.192
D) 19.2

Question 53

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Diverges
B) Converges

Question 54

Use the summation properties to evaluate the series. The following rules may be needed:

Question 55

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Converges
B) Diverges

Question 56

Write the series using summation notation.

Question 57

Use the summation properties to evaluate the series. The following rules may be needed:

A) 462
B) 112
C) 441
D) 1764

Question 58

Write the series using summation notation.

Question 59

Use the summation properties to evaluate the series. The following rules may be needed:

Question 60

Use the summation properties to evaluate the series. The following rules may be needed:

Question 61

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

Question 62

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

Question 63

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

Question 64

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Converges
B) Diverges

Question 65

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

Question 66

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

A) 0, 1, 6, 11, 16, 21
B) 1, 6, 11, 16, 21, 26
C) 1, 6, 11, 16, 21, 27
D) 1, 5, 9, 13, 17, 21

Question 67

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

Question 68

Find the common difference for the arithmetic sequence.
5, 6, 7, 8, . . .

A) 0.75
B) 5
C) 15
D) 1

Question 69

Find the common difference for the arithmetic sequence.
8, 13, 18, 23, . . .

A) 15
B) 5
C) 0.05
D)

Question 70

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).
The first term is 20, and the common difference is 7;

A) 7, 27, 47, 67, 87
B) 20, 7, 34, 41, 48
C) 20, 7, 54, 81, 108
D) 20, 27, 34, 41, 48

Question 71

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
Suppose that an insect population density, in thousands, during year n can be modeled by the recursively defined sequence: Use technology to graph the sequence for n = 1, 2, 3, . . . , 20 . Describe what happens to the population density
Function.

A) The insect population increases every year.
B) The insect population stabilizes near 11.65 thousand.
C) The insect population stabilizes near 12.58 thousand.
D) The insect population stabilizes near 8.45 thousand.

Question 72

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Diverges
B) Converges

Question 73

Find the common difference for the arithmetic sequence.

Question 74

Find for the following arithmetic sequence.
2, 10, 18, 26, 34, . . .

Question 75

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

Question 76

Find for the following arithmetic sequence.

Question 77

Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).

Question 78

Find for the following arithmetic sequence.

Question 79

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.

A) Converges
B) Diverges

Question 80

Find for the following arithmetic sequence.
2, 6, 10, 14, 18, . . .