Geometric Series and Geometric Sequences - Basic Introduction
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- čas přidán 15. 05. 2021
- This algebra and precalculus video tutorial provides a basic introduction into geometric series and geometric sequences. It explains how to calculate the common ratio of a geometric sequence and how to determine the nth term of a geometric sequence. It explains how to write a general equation for a geometric series using a simple formula and how to calculate the partial sum of a geometric series as well as the infinite sum if the geometric series converges. if it diverges, the sum cannot be calculated. This video also highlights the difference between the arithmetic mean and the geometric mean. This video contains plenty of examples and practice problems.
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I always run to your videos whenever I have difficulty understanding my math lessons, and so far your channel has never let me down❤️. I really appreciate your channel and one thing that I suggest which may improve your videos are Timestamps with purpose of the formula written at the top(ie. 'Getting the mean of a geometric sequence'). Hope you'll consider☺️
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I wish I knew the finite geometric series formula existed, I always thought it did not matter if it was finite or infinite, and that all geometric series would simplify to a/(1-r). This made the most sense out of everywhere I looked. Thank you!
wait it matters if the sequence/series is finite or infinite?
@@mohamedelgaili9895yes for geometric sequences it does
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what
here in china we are doing this in grade 10
What is wrong with our education system?
@@user-nf1bz3sn4z most schools in US do it in grade 10 or 11 his is different I assume he skipped precalculus or algebra 2 or maybe his school doesn't teach calculus so precalculus is his last high school math class
In Philippines, we're doing this on grade 10, is our education system messed up?
Really because I'm in America grade 8
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Why didn't we use the infinite sum formula thingy to solve the 5th question. Isn't the common ratio less than 1?
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Part 2 sequence and series for grade 12 is available
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Professor Organic Chemistry Tutor, thank you for an awesome introduction to Geometric Series and Sequences. Series and Sequences are powerful tools in Mathematics and Applied Engineering. Calculus II has a full chapter that deals directly with Series and Sequences. This is an error free video/lecture on CZcams TV with the Organic Chemistry Tutor.
Dud can u help me with this 1. 5. 25. 125 Sn didn’t work for it can u help me with solving them
@@noorking3941 I might be wrong and I know i am late but i believe it should be Sn = 1(1-5^3)/1-5
@@noorking3941 I tried to create an Sn for it
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This video helped me so much, but I became really confused when you add A1 and A5 then divided by 2 and get three. Is this part of the solution? I would really appreciate you explaining it to me, thank you
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