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Deck 9: Infinite Series
ملء الشاشة (f)
سؤال
Write the first five terms of the sequence of partial sums. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the first five terms of the sequence of partial sums. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
True or false.The series 
is divergent.
is divergent. سؤال
True or false.The infinite series 
سؤال
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.
A)
million dollars
B)
million dollars
C)
million dollars
D)
million dollars
E)
million dollars
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.
A)
million dollarsB)
million dollarsC)
million dollarsD)
million dollarsE)
million dollars سؤال
Find the sum of the convergent series 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the sum of the convergent series. 
A)4
B)36
C)9
D)27
E)45
A)4
B)36
C)9
D)27
E)45
سؤال
Determine the convergence or divergence of the series. 
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
سؤال
Write the repeating decimal 
as a geometric series.
A)
B)
C)
D)
E)
as a geometric series.A)
B)
C)
D)
E)
سؤال
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.
A)$800 million
B)$401 million
C)$200 million
D)$801 million
E)$400 million
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)$800 million
B)$401 million
C)$200 million
D)$801 million
E)$400 million
سؤال
Find all values of x for which the series 
converges.
A)
B)
C)
D)
E)
converges.A)
B)
C)
D)
E)
سؤال
Find the sum of the convergent series. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Write the first five terms of the sequence of partial sums. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
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.
A)
B)
C)
D)
E)The series diverges for all x.
سؤال
Find the sum of the convergent series. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the sum of the convergent series 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
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?
A)
units
B)
units
C)
units
D)
units
E)
units
Inoperative.So, 4,000 units will be in use after 1 year,
units will be in useAfter 2 years, and so on.How many units will be in use after n years?
A)
unitsB)
unitsC)
unitsD)
unitsE)
units سؤال
True or false.The series 
is convergent.
is convergent. سؤال
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.
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
Winnings is
Compute the present value using the formula for the nth partialSum of a geometric series.Round your answer to two decimal places.
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
سؤال
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العب
ملء الشاشة (f)
Deck 9: Infinite Series
1
Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
2
Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
True or false.The series is divergent.
is divergent.True
4
True or false.The infinite series
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5
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.
A) million dollars
B) million dollars
C) million dollars
D) million dollars
E) million dollars
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.
A)
million dollarsB)
million dollarsC)
million dollarsD)
million dollarsE)
million dollars فتح الحزمة
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6
Find the sum of the convergent series
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
Find the sum of the convergent series.
A)4
B)36
C)9
D)27
E)45
A)4
B)36
C)9
D)27
E)45
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8
Determine the convergence or divergence of the series.
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
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9
Write the repeating decimal as a geometric series.
A)
B)
C)
D)
E)
as a geometric series.A)
B)
C)
D)
E)
فتح الحزمة
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10
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.
A)$800 million
B)$401 million
C)$200 million
D)$801 million
E)$400 million
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)$800 million
B)$401 million
C)$200 million
D)$801 million
E)$400 million
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11
Find all values of x for which the series converges.
A)
B)
C)
D)
E)
converges.A)
B)
C)
D)
E)
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12
Find the sum of the convergent series.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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13
Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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14
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
Places.
A)229.33 feet
B)410.67 feet
C)181.33 feet
D)197.33 feet
E)213.33 feet
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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.
A)
B)
C)
D)
E)The series diverges for all x.
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16
Find the sum of the convergent series.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Find the sum of the convergent series
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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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?
A) units
B) units
C) units
D) units
E) units
Inoperative.So, 4,000 units will be in use after 1 year,
units will be in useAfter 2 years, and so on.How many units will be in use after n years?
A)
unitsB)
unitsC)
unitsD)
unitsE)
units فتح الحزمة
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19
True or false.The series is convergent.
is convergent. فتح الحزمة
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20
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.
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
Winnings is
Compute the present value using the formula for the nth partialSum of a geometric series.Round your answer to two decimal places.
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
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 21 في هذه المجموعة.
فتح الحزمة
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21
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
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
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