Lesson Plan: The 𝑛th Term Divergence Test Mathematics • Higher Education

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to apply the 𝑛th term test for divergence, which states that a series diverges if the limit of its 𝑛th term does not approach zero.

Objectives

Students will be able to

  • use the 𝑛th term divergence test to check if a series diverges,
  • understand when the 𝑛th term divergence test fails.

Prerequisites

Students should already be familiar with

  • the definition of a series,
  • the concepts of convergence and divergence for series.

Exclusions

Students will not cover

  • the integral test for series.

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