Determine whether the geometric series is convergent or divergent. If it is conv

nicekikah

nicekikah

Answered question

2021-11-03

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. 3-4+16/3-64/9+........

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-11-04Added 108 answers

The given question already states that this is a geometric series.
A geometric series is convergent if and only if its common ratio r satisfies the following inequality
|r|<1
In the given problem, we have
r=a2a1=43
Since the absolute value of the common ratio is 431.33, which is not less than 1, the given geometric series is divergent.
Results:
divergent because the common ratio is not less than 1.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?