Lesson: Conditional and Absolute Convergence Mathematics • Higher Education

In this lesson, we will learn how to determine if a series is absolutely convergent, conditionally convergent, or divergent.

Lesson Plan

Students will be able to

know what it means for a series to be absolutely convergent or conditionally convergent,
find whether a series is absolutely convergent, conditionally convergent, or divergent,
know that any rearranging of terms of an absolutely convergent series will yield the same sum.

Q1:

Consider the series .

Decide whether the series is absolutely convergent, conditionally convergent, or divergent.

Q2:

Consider the series .

Decide whether the series is absolutely convergent, conditionally convergent, or divergent.

Q3:

State whether the series converges absolutely, conditionally, or not at all.