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Deck 8: Extension B: Infinte Sequences and Series
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Question
A right triangle ABC is given with 
and 
CD is drawn perpendicular to AB,DE is drawn perpendicular to BC,EF 
AB and this process is continued indefinitely as shown in the figure.Find the total length of all the perpendiculars 
Write your answer to two decimal places. 
and CD is drawn perpendicular to AB,DE is drawn perpendicular to BC,EF AB and this process is continued indefinitely as shown in the figure.Find the total length of all the perpendiculars Write your answer to two decimal places. 
Question
Express the number as a rational number. 
Question
Determine whether the series is convergent or divergent by expressing 
as a telescoping sum.If it is convergent,find its sum. 
A) diverges
B)
C)
D)
E)
as a telescoping sum.If it is convergent,find its sum. A) diverges
B)
C)
D)
E)
Question
When money is spent on goods and services,those that receive the money also spend some of it.The people receiving some of the twice-spent money will spend some of that,and so on.Economists call this chain reaction the multiplier effect.In a hypothetical isolated community,the local government begins the process by spending D dollars.Suppose that each recipient of spent money spends 
and saves 
of the money that he or she receives.The values c and s are called the marginal propensity to consume and the marginal propensity to save and,of course, 
The number k = 1/s is called the multiplier.What is the multiplier if the marginal propensity to consume is 
?
A) 4
B) 6
C) 3
D) 7
E) 2.5
and saves of the money that he or she receives.The values c and s are called the marginal propensity to consume and the marginal propensity to save and,of course, The number k = 1/s is called the multiplier.What is the multiplier if the marginal propensity to consume is ?A) 4
B) 6
C) 3
D) 7
E) 2.5
Question
Determine whether the series is convergent or divergent by expressing 
as a telescoping sum.If it is convergent,find its sum. 
A)
B) diverges
C)
D)
E)
as a telescoping sum.If it is convergent,find its sum. A)
B) diverges
C)
D)
E)
Question
Determine whether the given series converges or diverges.If it converges,find its sum. 
Question
Determine whether the given series converges or diverges.If it converges,find its sum. 
A)
B) Diverges
C) 1
D)
A)
B) Diverges
C) 1
D)
Question
Express the number 
as a ratio of integers.
as a ratio of integers. Question
Determine whether the given series converges or diverges.If it converges,find its sum. 
A)
B) Diverges
C)
D)
A)
B) Diverges
C)
D)
Question
Determine whether the geometric series converges or diverges.If it converges,find its sum. 
A)
B)
C)
D) Diverges
A)
B)
C)
D) Diverges
Question
A sequenceis 
defined recursively by the equation 
for 
where 
Use your calculator to guess the limit of the sequence.
defined recursively by the equation for where Use your calculator to guess the limit of the sequence.
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Deck 8: Extension B: Infinte Sequences and Series
1
A right triangle ABC is given with and CD is drawn perpendicular to AB,DE is drawn perpendicular to BC,EF AB and this process is continued indefinitely as shown in the figure.Find the total length of all the perpendiculars Write your answer to two decimal places.
and CD is drawn perpendicular to AB,DE is drawn perpendicular to BC,EF AB and this process is continued indefinitely as shown in the figure.Find the total length of all the perpendiculars Write your answer to two decimal places. 
2
Express the number as a rational number.
3
Determine whether the series is convergent or divergent by expressing as a telescoping sum.If it is convergent,find its sum.
A) diverges
B)
C)
D)
E)
as a telescoping sum.If it is convergent,find its sum. A) diverges
B)
C)
D)
E)
4
When money is spent on goods and services,those that receive the money also spend some of it.The people receiving some of the twice-spent money will spend some of that,and so on.Economists call this chain reaction the multiplier effect.In a hypothetical isolated community,the local government begins the process by spending D dollars.Suppose that each recipient of spent money spends and saves of the money that he or she receives.The values c and s are called the marginal propensity to consume and the marginal propensity to save and,of course, The number k = 1/s is called the multiplier.What is the multiplier if the marginal propensity to consume is ?
A) 4
B) 6
C) 3
D) 7
E) 2.5
and saves of the money that he or she receives.The values c and s are called the marginal propensity to consume and the marginal propensity to save and,of course, The number k = 1/s is called the multiplier.What is the multiplier if the marginal propensity to consume is ?A) 4
B) 6
C) 3
D) 7
E) 2.5
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5
Determine whether the series is convergent or divergent by expressing as a telescoping sum.If it is convergent,find its sum.
A)
B) diverges
C)
D)
E)
as a telescoping sum.If it is convergent,find its sum. A)
B) diverges
C)
D)
E)
Unlock Deck
Unlock for access to all 11 flashcards in this deck.
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k this deck
6
Determine whether the given series converges or diverges.If it converges,find its sum.
Unlock Deck
Unlock for access to all 11 flashcards in this deck.
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k this deck
7
Determine whether the given series converges or diverges.If it converges,find its sum.
A)
B) Diverges
C) 1
D)
A)
B) Diverges
C) 1
D)
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Unlock for access to all 11 flashcards in this deck.
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8
Express the number as a ratio of integers.
as a ratio of integers. Unlock Deck
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9
Determine whether the given series converges or diverges.If it converges,find its sum.
A)
B) Diverges
C)
D)
A)
B) Diverges
C)
D)
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Unlock for access to all 11 flashcards in this deck.
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10
Determine whether the geometric series converges or diverges.If it converges,find its sum.
A)
B)
C)
D) Diverges
A)
B)
C)
D) Diverges
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Unlock for access to all 11 flashcards in this deck.
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11
A sequenceis defined recursively by the equation for where Use your calculator to guess the limit of the sequence.
defined recursively by the equation for where Use your calculator to guess the limit of the sequence. Unlock Deck
Unlock for access to all 11 flashcards in this deck.
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