Lesson Plan: The 𝑛th Term Divergence Test Mathematics
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 term divergence test to check if a series diverges,
- understand when the 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.