Deck 11: Further Topics in Algebra

Question 1

Decide whether the given sequence is finite or infinite.

Answer 1

A

Question 2

Decide whether the given sequence is finite or infinite.

Answer 2

B

Question 3

Decide whether the given sequence is finite or infinite.
-5, -4, -3, -2

A) Infinite
B) Finite

Answer 3

B

Question 4

Write out the first five terms of the sequence.

Question 5

Write out the first five terms of the sequence.

Question 6

Write out the first five terms of the sequence.

Question 7

Write out the first five terms of the sequence.

Question 8

Write out the first five terms of the sequence.

Question 9

Write out the first five terms of the sequence.

Question 10

Decide whether the given sequence is finite or infinite.
-3, -2, -1, 0, . . .

A) Infinite
B) Finite

Question 11

Write out the first five terms of the sequence.

Question 12

Decide whether the given sequence is finite or infinite.

Question 13

Write out the first five terms of the sequence.

Question 14

Decide whether the given sequence is finite or infinite.

Question 15

Find the first six terms of the sequence.

Question 16

Decide whether the given sequence is finite or infinite.

Question 17

Decide whether the given sequence is finite or infinite.

Question 18

Decide whether the given sequence is finite or infinite.

Question 19

Write out the first five terms of the sequence.

Question 20

Decide whether the given sequence is finite or infinite.

Question 21

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

Question 22

Find the first six terms of the sequence.

Question 23

Find the first six terms of the sequence.

Question 24

Evaluate the sum using the given information.

Question 25

Evaluate the sum using the given information.

Question 26

Use a graphing calculator to evaluate the series.

Question 27

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

Question 28

Find the first six terms of the sequence.

Question 29

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

Question 30

Use a graphing calculator to evaluate the series.

Question 31

Evaluate the sum using the given information.

Question 32

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

Question 33

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

Question 34

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

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.

Question 38

Evaluate the sum using the given information.

Question 39

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

Question 40

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

Question 41

Write the series using summation notation.

Question 42

Evaluate the sum using the given information.

Question 43

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

Question 44

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

Question 45

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

Question 46

Write the series using summation notation.

Question 47

Write the series using summation notation.

Question 48

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

Question 49

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

Question 50

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

Question 51

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

Question 52

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

Question 53

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

Question 54

Evaluate the sum using the given information.

Question 55

Evaluate the sum using the given information.

Question 56

Evaluate the sum using the given information.
x1 = 2, x2 = -3, x3 = -2, x4 = -5, and△x = -0.6; f(x) = x x- 5 4
∑ f(xi)△x (Round to the nearest tenth, if necessary.)
I=1

A) 0.2
B) -0.4
C) 0
D) -0.3

Question 57

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

Question 58

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

Question 59

Evaluate the sum using the given information.

Question 60

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

Question 61

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

Question 62

Find a n and a 6 for the following arithmetic sequence.

Question 63

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

A) Diverges
B) Converges

Question 64

Find the common difference for the arithmetic sequence.

Question 65

Find a n and a 6 for the following arithmetic sequence.

Question 66

Find a n and a 6 for the following arithmetic sequence.

Question 67

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

A) Converges
B) Diverges

Question 68

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

A) Converges
B) Diverges

Question 69

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

Question 70

Solve the problem.

Question 71

Solve the problem.

Question 72

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

Question 73

Solve the problem.

Question 74

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

Question 75

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

Question 76

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

Question 77

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

Question 78

Find the common difference for the arithmetic sequence.

Question 79

Find a n and a 6 for the following arithmetic sequence.

Question 80

Find the common difference for the arithmetic sequence.