
Understanding the Alternating Series Test

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

Mia Campbell
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary purpose of the Alternating Series Test?
To check if a series converges
To determine if a series diverges
To find the sum of a series
To calculate the limit of a sequence
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is a condition for the Alternating Series Test?
The series must be geometric
The series must be finite
The terms must be increasing
The limit of the terms must be zero
Tags
CCSS.HSF.BF.A.2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example series, what is the expression for a sub n?
1/n
(-1)^(n+1)/n
n/(-1)^n
(-1)^n/n
Tags
CCSS.HSA.SSE.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of b sub n in the example series?
(-1)^(n+1)
(-1)^n
1/n
n
Tags
CCSS.HSF.BF.A.2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is the sequence 1/n considered decreasing?
Because n is decreasing
Because the denominator increases as n increases
Because the numerator decreases
Because it is a geometric sequence
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the series if all terms are positive?
It diverges immediately
It becomes the harmonic series
It converges faster
It becomes a geometric series
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which test is mentioned as a comparison to the Alternating Series Test?
Limit Comparison Test
Root Test
Integral Test
Ratio Test
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