تكلم مع الذكاء الاصطناعي
Deck 9: Section 2: Infinite Series
ملء الشاشة (f)
سؤال
True or false. The infinite series 
.
A) false
B) true
.A) false
B) true
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 repeating decimal 
as a geometric series.
A)
B)
C)
D)
E)
as a geometric series.A)
B)
C)
D)
E)
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
Match the series with the graph of its sequence of partial sums. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Match the series with the graph of its 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.
A) false
B) true
is divergent.A) false
B) true
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
Match the series with the graph of its sequence of partial sums. 
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
units will be in use after 2 years, and so on. How many units will be in use after n years?A)
unitsB)
unitsC)
unitsD)
unitsE)
units سؤال
Find all values of x for which the series 
converges.
A)
B)
C)
D)
E)
converges.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
. Find the sum of this series.A) $800 million
B) $401 million
C) $200 million
D) $801 million
E) $400 million
سؤال
Find the sum of the convergent series 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
True or false. The series 
is convergent.
A) false
B) true
is convergent.A) false
B) true
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
Find the sum of the convergent series. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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
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
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
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
سؤال
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العب
ملء الشاشة (f)
Deck 9: Section 2: Infinite Series
1
True or false. The infinite series .
A) false
B) true
.A) false
B) true
true
2
Write the first five terms of the sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
Write the repeating decimal as a geometric series.
A)
B)
C)
D)
E)
as a geometric series.A)
B)
C)
D)
E)
4
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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5
Match the series with the graph of its sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Match the series with the graph of its sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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7
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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8
True or false. The series is divergent.
A) false
B) true
is divergent.A) false
B) true
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9
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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10
Match the series with the graph of its sequence of partial sums.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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11
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
units will be in use after 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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12
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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13
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
. 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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14
Find the sum of the convergent series .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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15
True or false. The series is convergent.
A) false
B) true
is convergent.A) false
B) true
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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
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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18
Find the sum of the convergent series.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
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
A)
million dollarsB)
million dollarsC)
million dollarsD)
million dollarsE)
million dollars فتح الحزمة
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20
Find the sum of the convergent series.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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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
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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22
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
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
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23
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
A) 229.33 feet
B) 410.67 feet
C) 181.33 feet
D) 197.33 feet
E) 213.33 feet
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