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Lesson: Infinite Geometric Series Mathematics

In this lesson, we will learn how to determine whether a geometric series is convergent and find its limit.

Lesson Plan

Students will be able to

recognize the first term and common ratio of a geometric series given in sigma notation,
determine whether a geometric series is convergent or divergent,
find the limit of convergent geometric series.

Q1:

Can the sum of an infinite geometric series with common ratio be found when ?

Q2:

Find the sum of the infinite geometric sequence .

Q3:

Can the sum of an infinite geometric series be found for any value of satisfying ?