Sum of Infinite Geometric Series

We discuss how to find the sum of an infininte geometric series that converges in this free math video tutorial by Mario's Math Tutoring. We also discuss when the series diverges and the sum cannot be found. We also look at some example problems.

0:30 Formula for the Sum of an Infinite Geometric Series
0:44 Restrictions for being able to find the Infinite Sum
1:00 Difference between Convergent and Divergent Series
1:29 Example 1 Finding the Sum of a Convergent Geometric Series
2:28 Example 2 How to calculate the Ratio of a Geometric Series and calculate the Sum.

Related Videos:

Sum of a Finite Geometric Series

Sum of an Arithmetic Series

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[FuzzzyJunior]

Learning online has been a struggle and this video was extremely clear and concise. Thank you so much for helping me!

[tirzahbruski]

I am a teacher, teaching from home. Thank you for producing a video that will help my students understand the sums of infinite geometric series.

[stellarbadger]

Just saved me from depression and hours of work😂😂thank youuuu 🙏🏻

[anonymoususer]

Thanks, my doubt got cleared within 2 minutes. Amazing.

[Beamthegamer]

Good work sir. Thanks to you I understand. Awesome teacher!

[roneljamesroxas]

I want to know how to get common ratio if the given is the sum to infinity and the first term. Can you please tell me

[narinderkumar]

Way of finding 'r' is 👌👌👌
Thank you sir

[kima]

Thank god for u my teachers on the other hand

[bongo_baller]

What if the ratio of the sequence is multiplying by 2
For example: 10, 20, 40, 80
How would you find the infinite sum of it?

[jenvyclairereplente]

What if the ratio of the sequence is more than 1?

[harry-fltf]

nice and short lecture, you saved my ass Professor

[alemendoza]

In the first example you did, did you jist ignored the 1-? Because it was 1-(1/2) but you just multiplied it by 2.. Ignoring the one? Im confused. :(