AP Calculus AB/BC

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Convergent series

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AP Calculus AB/BC

Definition

A convergent series is a series where the sum of all its terms exists and is finite. The terms in this type of series typically approach zero as n approaches infinity.

"Convergent series" also found in:

Subjects (10)

Practice Questions (3)

If $s_\infinity$ and $r_\infty$ are convergent series, is $t_\infty=s_\infty+r_\infty$ convergent or divergent?
If $s_\infty = \sum_{n=1}^{\infty} \frac{1}{2^n}$ is a convergent series, is $r_\infty = 5\cdot s_\infty$ convergent or divergent?
If the series ∑(𝑛=1 to ∞) (|a_n|) converges what can be said of the convergent series ∑(𝑛=1 to ∞) (a_n)?

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Convergent series

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AP Calculus AB/BC

Definition

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Subjects (10)

Practice Questions (3)

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that actually explain what's on your next test

Convergent series

from class:

AP Calculus AB/BC

Definition

Related terms

"Convergent series" also found in:

Subjects (10)

Practice Questions (3)

© 2024 Fiveable Inc. All rights reserved.

AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.

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