Question 1

Write the repeating decimal   as a geometric series.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    C

Question 2

Find the sum of the convergent series

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    B

Question 3

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.

Accepted Answer

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 
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 C

Question 4

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
Winnings is   Compute the present value using the formula for the nth partial
Sum of a geometric series.Round your answer to two decimal places.

Accepted Answer

A) $6,852,274.09 
B) $1,959,646.05 
C) $4,568,182.73 
D) $1,246,221.03 
E) $1,715,908.64 
A) $6,852,274.09 
B) $1,959,646.05 
C) $4,568,182.73 
D) $1,246,221.03 
E) $1,715,908.64

Question 5

True or false.The series   is divergent.

Accepted Answer

A) True 
 B)False

Question 6

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Find the sum of the convergent series

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find all values of x for which the series   converges.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Determine the convergence or divergence of the series.

Accepted Answer

A) cannot be determined from the methods in the chapter 
B) Diverges 
C) Converges 
A) cannot be determined from the methods in the chapter 
B) Diverges 
C) Converges

Question 10

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.

Accepted Answer

A)    million dollars 
B)    million dollars 
C)    million dollars 
D)    million dollars 
E)    million dollars 
A)    million dollars 
B)    million dollars 
C)    million dollars 
D)    million dollars 
E)    million dollars

Question 11

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
Geometric series   Find the sum of this series.

Accepted Answer

A) $800 million 
B) $401 million 
C) $200 million 
D) $801 million 
E) $400 million 
A) $800 million 
B) $401 million 
C) $200 million 
D) $801 million 
E) $400 million

Question 12

Find the sum of the convergent series.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the sum of the convergent series.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

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

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Find 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.

Accepted Answer

A)    
B)    
C)    
D)    
E) The series diverges for all x. 
A)    
B)    
C)    
D)    
E) The series diverges for all x.

Question 17

True or false.The series   is convergent.

Accepted Answer

A) True 
 B)False

Question 18

Suppose an electronic games manufacturer producing a new product estimates the annual sales to be 4,000 units.Each year 20% of the units that have been sold will become
Inoperative.So, 4,000 units will be in use after 1 year,   units will be in use
After 2 years, and so on.How many units will be in use after n years?

Accepted Answer

A)    units 
B)    units 
C)    units 
D)    units 
E)    units 
A)    units 
B)    units 
C)    units 
D)    units 
E)    units

Question 19

True or false.The infinite series

Accepted Answer

A) True 
 B)False

Question 20

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.

Accepted Answer

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

Write the repeating decimal as a geometric series.

Find the sum of the convergent series

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.

True or false.The series is divergent.

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

Find the sum of the convergent series

Find all values of x for which the series converges.

Determine the convergence or divergence of the series.

Find the sum of the convergent series.

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

Find the sum of the convergent series.

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

Find 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.

True or false.The series is convergent.

True or false.The infinite series

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.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

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Exam 9: Infinite Series

Write the repeating decimal as a geometric series.

Find the sum of the convergent series

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.

True or false.The series is divergent.

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

Find the sum of the convergent series

Find all values of x for which the series converges.

Determine the convergence or divergence of the series.

Find the sum of the convergent series.

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

Find the sum of the convergent series.

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

Find 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.

True or false.The series is convergent.

True or false.The infinite series

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.

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Additional Topics in Differential Equations

Preparation for Calculus

Filters