Series | Alternating Series Test (with Conditional/Absolute Convergence): Example 6

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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary focus of the alternating series test?
To find the sum of a series
To assess the convergence of a series with alternating terms
To check if a series is arithmetic
To determine if a series is geometric
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the cosine function contribute to the series' behavior?
It changes the series to a geometric series
It makes the series diverge
It has no effect on the series
It ensures the series remains bounded
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the role of b sub n in the alternating series test?
It is the numerator of the series
It is the sum of the series
It is the non-alternating part of the series
It is the alternating term
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What must be true for b sub n to satisfy the convergence criteria?
b sub n must be constant
b sub n must be increasing
b sub n must be decreasing
b sub n must be zero
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the p-series test determine about the series?
Whether the series diverges
Whether the series is geometric
Whether the series converges absolutely
Whether the series is arithmetic
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the conclusion if the absolute value of the series diverges?
The series is absolutely convergent
The series is conditionally convergent
The series is divergent
The series is geometric
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens if the absolute value of the alternating series converges?
The series is arithmetic
The series is divergent
The series is absolutely convergent
The series is conditionally convergent
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