# Section 8.3 The Integral Test and p-Series

Education

21

All Questions

18

Multiple Choice

3

True False

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Essay

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Short Answer

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Not Answered

Q 1

Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 2

Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 3

Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 4

True or false.The infinite series .

True False

Q 5

Find the sum of the convergent series.
A)3
B)27
C)9
D)18
E)36

Multiple Choice

Q 6

Find the sum of the convergent series.
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Find the sum of the convergent series.
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Find the sum of the convergent series
A)
B)
C)
D)
E)

Multiple Choice

Q 9

Find the sum of the convergent series .
A)
B)
C)
D)
E)

Multiple Choice

Q 10

Write the repeating decimal as a geometric series.
A)
B)
C)
D)
E)

Multiple Choice

Q 11

True or false.The series is divergent.

True False

Q 12

True or false.The series is convergent.

True False

Q 13

Determine the convergence or divergence of the series.
A)cannot be determined from the methods in the chapter
B)Diverges
C)Converges

Multiple Choice

Q 14

Find all values of x for which the series converges.
A)
B)
C)
D)
E)

Multiple Choice

Q 15

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

Multiple Choice

Q 16

Suppose an electronic games manufacturer producing a new product estimates the annual sales to be 4,000 units.Each year 10% 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?
A) units
B) units
C) units
D) units
E) units

Multiple Choice

Q 17

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.Write the expression that gives the total amount of spending generated by the $100 million after n years.
A) million dollars
B) million dollars
C) million dollars
D) million dollars
E) million dollars

Multiple Choice

Q 18

Suppose the annual spending by tourists in a resort city is $200 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.
A)$1,600 million
B)$801 million
C)$400 million
D)$1,601 million
E)$800 million

Multiple Choice

Q 19

Suppose a ball is dropped from a height of 16 feet.Each time it drops h feet,it rebounds 0.86h feet.Find the total distance traveled by the ball.Round your answer to two decimal places.
A)244.57 feet
B)441.14 feet
C)196.57 feet
D)212.57 feet
E)228.57 feet

Multiple Choice

Q 20

Suppose the winner of a $15,000,000 sweepstakes will be paid $500,000 per year for 30 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.
A)$36,941,323.46
B)$9,464,644.76
C)$24,627,548.97
D)$5,189,829.02
E)$7,686,225.51

Multiple Choice

Q 21

Suppose you go to work at a company that pays $0.02 for the first day,$0.04 for the second day,$0.08 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)$5,368,709.12
B)$2,684,354.56
C)$10,737,418.22
D)$42,949,672.88
E)$21,474,836.44

Multiple Choice