Deck 9: Sequences

Question 1

Answer 1

B

Question 2

Write the first five terms of the sequence.

Answer 2

D

Question 3

Write the first five terms of the sequence of partial sums.

Answer 3

D

Question 4

Write the first five terms of the sequence.

Question 5

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Question 6

Write the first five terms of the sequence of partial sums.

Question 7

government program that currently costs taxpayers $3.5 billion per year is cut back

Question 8

government program that currently costs taxpayers $2.5 billion per year is cut back

Question 9

Question 10

Write the first three terms of the sequence.

Question 11

Match the sequence with its graph.

Question 12

deposit of $225 is made at the beginning of each month into an account at an

Question 13

Match the sequence with its graph.

Question 14

Write the first five terms of the sequence of partial sums.

Question 15

Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit.

Question 16

Question 17

Question 18

Match the sequence with its graph.

Question 19

Question 20

Question 21

the Integral Test to determine the convergence or divergence of the series.

Question 22

Suppose the annual spending by tourists in a resort city is $100 million. Approximately 90% of that revenue is again spent in the resort city, and of that amount approximately
90% is again spent in the same city, and so on. Write the expression that gives the total amount of
Spending generated by the $100 million after n years.

Question 23

Suppose an electronic games manufacturer producing a new product estimates the

Question 24

all values of x for which the series converges. For these values of x, write the sum of the series as a function of x.

Question 25

the sum of the convergent series.

Question 26

Question 27

Suppose the winner of a $4,000,000 sweepstakes will be paid $100,000 per year for 40 years, starting a year from now. The money earns 5% interest per year. The present value of the

Question 28

the sum of the convergent series.

Question 29

Question 30

Question 31

Question 32

Question 33

the Integral Test to determine the convergence or divergence of the series.

Question 34

Suppose the annual spending by tourists in a resort city is $100 million. Approximately 75% of that revenue is again spent in the resort city, and of that amount approximately
75% is again spent in the same city, and so on. Summing all of this spending indefinitely, leads to the

Question 35

the sum of the convergent series.

Question 36

Question 37

Determine the convergence or divergence of the series.

Question 38

Suppose you go to work at a company that pays $0.08 for the first day, $0.16 for the second day, $0.32 for the third day, and so on. If the daily wage keeps doubling, what would your
Total income be for working 29 days? Round your answer to two decimal places.

A)$21,474,836.48
B)$10,737,418.24
C)$42,949,672.88
D)$171,798,691.52
E)$85,899,345.76

Question 39

Question 40

Suppose a ball is dropped from a height of 16 feet. Each time it drops h feet, it rebounds 0.85h feet. Find the total distance traveled by the ball. Round your answer to two decimal
Places.

A)229.33 feet
B)410.67 feet
C)181.33 feet
D)197.33 feet
E)213.33 feet

Question 41

the Integral Test to determine the convergence or divergence of the series.

Question 42

Theorem 9.11 to determine the convergence or divergence of the series.

Question 43

Theorem 9.11 to determine the convergence or divergence of the series.

Question 44

Question 45

Question 46

Determine the convergence or divergence of the series.

Question 47

Question 48

Determine the convergence or divergence of the series.

Question 49

Question 50

Determine the convergence or divergence of the series.

Question 51

Question 52

the Direct Comparison Test to determine the convergence or divergence of the

Question 53

the Direct Comparison Test to determine the convergence or divergence

Question 54

the Direct Comparison Test (if possible) to determine whether the series

Question 55

Theorem 9.11 to determine the convergence or divergence of the series.

Question 56

the Direct Comparison Test to determine the convergence or divergence of the series

Question 57

Question 58

the Integral Test to determine the convergence or divergence of the series.

Question 59

the Direct Comparison Test (if possible) to determine whether the series

Question 60

the Direct Comparison Test (if possible) to determine whether the series

Question 61

the Limit Comparison Test (if possible) to determine whether the series

Question 62

Question 63

the Limit Comparison Test to determine the convergence or divergence of the

Question 64

Question 65

Determine the convergence or divergence of the series

Question 66

diverges.

Question 67

converges or diverges.

Question 68

Question 69

the Limit Comparison Test (if possible) to determine whether the series

Question 70

the Direct Comparison Test to determine the convergence or divergence

Question 71

the Direct Comparison Test to determine the convergence or divergence

Question 72

the Limit Comparison Test to determine the convergence or divergence of the

Question 73

absolutely, or diverges.

A)The series converges conditionally but does not converge absolutely.
B)The series converges absolutely but does not converge conditionally.
C)The series diverges.
D)The series converges absolutely.

Question 74

the Limit Comparison Test (if possible) to determine whether the series

Question 75

the Limit Comparison Test to determine the convergence or divergence of the

Question 76

Question 77

the Limit Comparison Test to determine the convergence or divergence of the

Question 78

Question 79

the Limit Comparison Test to determine the convergence or divergence of

Question 80