Sum of Infinite Geometric Sequence | Algebra 2 | MathSux
In this video we are going to look at the sum of infinite geometric sequence
• By looking at what the sum of infinite geometric series means
• Look at the formula for sum to infinity
• Solve an Example
• and then you can try the practice questions at the end of this video on your own!
What does it mean to find the “Sum of the Infinite Geometric Sequence”?
We already know what a geometric sequence is: a sequence of numbers that form a pattern when the same number is multiplied or divided to each term.
ex: 5, 2.5, 1.25, .625,
where the common ratio, r, is 1/2 since we are multiplying to each term in the sequence.
But when what happens if we wanted to sum all the terms of our geometric sequence together?
That's where the infinite geometric series comes in!
ex: 5 + 2.5 + 1.25 + .625,...
There are two different types of infinite geometric series, ones that diverge to infinity and ones that converge to a value! The ones that converge to a value have a common ratio between -1 and 1.
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✏️ Practice Questions: https://mathsux.org/2021/11/17/sum-of...
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Intro 0:00
What does "Sum of Infinite Geometric Sequence" mean? 0:25
Divergence vs. Convergence 2:04
The formula for sum to infinity 2:49
Example 3:17
Practice 4:34
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If you have any questions, please don’t hesitate to comment below. And if this video has helped you, please hit the like button and subscribe for more math videos! Thank you and happy calculating! :)
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Hi and welcome to my Youtube channel, Mathsux. I’m Laura a Math Teacher/Tutor with a Masters in Mathematics Education. I will be covering topics in Algebra, Geometry, Algebra 2, Trigonometry, and Statistics every Wednesday with complimentary practice questions for every video. I hope this channel makes math suck just a little bit less and make life (or math class) just a little bit easier. And if these videos help you, please like and subscribe. Happy calculating! :)
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