Understanding Infinite Series and Partial Sums
Interactive Video
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Mia Campbell
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Mathematics
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9th - 12th Grade
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Hard
06:08
10 questions
Show answers
1.
Multiple Choice
What is an infinite series?
A series that converges to a specific value.
A sum of terms that continues indefinitely.
A sequence of numbers that ends after a finite number of terms.
A series that diverges to infinity.
2.
Multiple Choice
What does the notation S sub n represent?
The sum of the first n terms of a series.
The sum of all terms in an infinite series.
The difference between the first and last terms of a series.
The product of the first n terms of a series.
3.
Multiple Choice
How is a partial sum different from an infinite series?
A partial sum includes only the first few terms, while an infinite series includes all terms.
A partial sum is always smaller than an infinite series.
A partial sum is the same as an infinite series.
A partial sum is always larger than an infinite series.
4.
Multiple Choice
In the example given, what is the partial sum S sub 3 for the series 1/n^2?
36/1
49/36
36/49
1/36
5.
Multiple Choice
What is the algebraic expression for the partial sum S sub n in the example?
n squared plus three over n to the third plus four
n squared minus three over n to the second plus four
n squared minus three over n to the third plus four
n squared plus three over n to the second plus four
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