Nth Term Test Of Divergence

In our previous lesson, Intro To Sequences and Series, we learned important terms such as convergence, difference, and sequence and series.

Nosotros as well learned how to:

Generate a sequence
Simplify factorials
Determine convergence for an space sequence

We also learned our Important Acronym and Mnemonic Device for the 9 Infinite Series Tests for determining convergence/divergence for any infinite series.

In this lecture we'll explore the first of the 9 space serial tests – The Nth Term Test, which is also called the Divergence Test.

how to test for divergence of a series

Test for Divergence

This test, according to Wikipedia, is i of the easiest tests to utilise; hence it is the starting time "test" we check when trying to determine whether a serial converges or diverges.

What is important to point out is that in that location is an nth-term test for sequences and an nth-term test for series. The steps are identical, but the outcomes are dissimilar!

And so it is imperative that you make certain that you are aware of whether or not yous are dealing with a sequence or a serial, because your conclusion of convergence or difference depends on it.

But don't worry; it's easy to sort out, and like shooting fish in a barrel to apply!

In fact, this is probably everyone's favorite test because it's so easy to use.

Nth Term Examination Video

Nth Term Examination

Nth Term Test – 3 Examples

Nth Term Examination Overview
Case 1
Example two
Example 3

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