
Direct Comparison and P-Series Tests

Interactive Video
•
Mathematics
•
10th - 12th Grade
•
Hard

Amelia Wright
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of using the direct comparison test?
To compare two unrelated series
To calculate the limit of a sequence
To determine if a series converges or diverges
To find the exact sum of a series
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which series is used as a comparison in the initial example?
Summation of n squared
Summation of n cubed
Summation of 1 divided by n cubed
Summation of 1 divided by n squared
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of p in the p-series test used in the video?
1
2
4
3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the p-value being greater than one in the p-series test?
It indicates convergence
It indicates equality
It indicates divergence
It indicates oscillation
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the direct comparison test, what must be true for a series to converge?
The terms of the given series must be greater than the terms of a known converging series
The terms of the given series must be less than or equal to the terms of a known converging series
The terms of the given series must be greater than the terms of a known diverging series
The terms of the given series must be equal to the terms of a known diverging series
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result when comparing the first term of the given series to the known converging series?
The first term is greater
The first term is equal
The first term is less
The first term is not comparable
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the comparison between terms of the series made easier?
By using fractions
By converting to decimals
By using logarithms
By using exponents
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