Sequences and Series (Arithmetic & Geometric) Quick Review
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- Опубліковано 2 кві 2019
- Quickly review arithmetic and geometric sequences and series in this video math tutorial by Mario's Math Tutoring. We discuss the formulas for finding a specific term as well as the formulas for finding the sum of the series. We discuss the notation as well as recursive formulas for both arithmetic and geometric sequences. We also discuss summation notation and solving systems of equations when given 2 terms.
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If you liked this video be sure to check out my Algebra 2 Midterm Review and Algebra 2 Final Exam Review here for more help: Algebra 2 Final Exam Review ua-cam.com/video/WulfLUfz4eQ/v-deo.html
@@MariosMathTutoring this is ur own comment tho?
Where did the -2 under -6=-2d come from??
@@canaantamaki4575 🇮🇳🇮🇳🇮🇳
You’ve helped me so much in math this year, I just wanted to say thank you!!
Okay Johny sins
POV: You don't pay attention in Math and have a test the next day which is why you came to look for a review
I have a test in 2 hours... I'm cooked
😂
Me rn 😭
The to you😊
Too reallll
I just learned more from this Video than my teacher has taught me in the past week in the first 59 seconds.
Awesome! Glad my video helped you!
Facts
nice misplaced modifier
@@alisgevorgyan3891 really
@@MariosMathTutoring bhut badiya 👍👍😂😂🙏🙏
You're an awesome teacher. You explain what's actually happening during the process instead of just showing how to do it. This is so important for getting an intuitive understanding of what's really going on... which is the only way that I can learn anything.
Thanks Drake! I’m glad you like my videos and that they are helping you!
My test is tomorrow so this is a huge lifesaver
Keep up the good work 👏👏
Glad you liked my sequences and series review video! Good luck on your test!
Im doing the same
@@MariosMathTutoring how to solve when arithmetic and geometric are in the same sequence
same
00:01 Sequences are lists, series are sums.
02:08 Formulas for finding terms in sequences
04:09 Sum of arithmetic sequence formula explained
06:12 Sequences can be described using arithmetic and geometric patterns.
08:08 Sum of arithmetic series
10:00 Geometric series converge when ratio between -1 and 1.
11:53 Solving for arithmetic and geometric sequences
13:55 Solving a system of equations using division and substitution.
15:57 Understanding arithmetic and geometric series formulas
17:48 Understanding infinite geometric sums and their ratios
Thank you, learning math through online curriculum is tougher than I thought, you really help make distinctions and metaphors that I would normally use; reading does not do the same thing.
THANK YOU! Absent for a few days and you caught me back up
Glad my sequences and series video helped you Steven!
Tomorrow's my exam and I had to have a quick revision and this video helped me revise every single formula in just 19 minutes! Love how U can revise a long ass chapter in less than an hour whereas other youtubers take 1-2 hours and even advertise their channel. It's cool how u had no intro and dived directly into the topics which shows how u chose quality over quantity... I'm subscribing right away... and it's amazing how teachers from my own country (India) find it time taking to show the entire process and you can do it in minutes! Thanx Mario!!!! Your video's really a life-saver! NO cap!
Why would people dislike??
Awesome love it♥️
Glad you liked my sequences and series review video Zeynep!
Because he keeps saying "Air ith matic" instead of "Arithmetic"
this lesson is taught to students in middle school and continues in high school. not one teacher explained to me where the formula comes from. this helped a lot, thanks
Online classes suck so bad, I'm just glad youtube has this kind of videos to save my ass.
I really love the way you explain where the formula for the arithmetic sequence came from! I am a math teacher and I will definitely be using that from now on! I am a big fan!
Thank you so very much, I had to figure out the “Euclids’ method” for adding the sums in a geometric series, and your formula [Sn=A1(1-r^n) /1-r ] was very helpful in having me understand my teachers’ teachings.
the fact that u explained this better than any of my math teachers and friends amazes me, thank you so much!!
I really like how he explains the problem without adding the formula at first and then shows how it ties in to the formula, It makes so much more sense slowly adding in the variables
Three years later and students are still benefiting from this video.. This video taught me more than my school teacher haha... All the best!
THANK YOU SO MUCH! YOUR EXPLANATION IS VERY CLEAR, I UNDERSTOOD IT WELL.
I DIDNT EVEN HAVE TO REPLY THE VIDEO OR MEMORIZE ANYTHING.
YOURE APPRICIATED!!!
Online classes have been so difficult and confusing.......this is a full-on lifesaver
a math video has never helped me so much in my life, thank you!!!
Thank you so much for this! I had no clue how to do this especially because of all the disruptions in teaching due to COVID-19 but you explain everything so well!
my entire math grade is really on your shoulders. I am super grateful.
Very helpful! I couldn’t understand the difference between the summation and sequence or series. Now I get it after watching the series of videos you made! Thank you so much!
Great video. Content is simple enough, but the brilliant part is how you teach it to beginners!
Thank you so much! This video explains the topic so clearly and concisely, yet covers all the bases. Keep up the good work!
You’re welcome Julia! Glad you liked my sequence and series review video!
thank you so much! wouldn't have survived math class without this
Amazing video just what I was looking for to relearn a topic that I forgot without having to go through a long playlist of lectures
It’s super hard to pay attention in class so I usually study on my own, but I didn’t understand, but when I watched this video, I understood!
I don’t know how you teach it because this is really similar to the way my teacher taught it, but I only understood your way. Thank you so much
This video helped out alot I'm finally starting to understand how to apply the theory to questions. I was able to solve one of my practice questions less than 5 minutes into this video. Thank you!
your the definition of a teacher ,thank u sir it was very helpful
I really like your style of teaching. Extremely clear and well presented.
this is really really helpful. you're so so straightforward thank you so much
This is a lot easy than i first thought! great explanation, i learn through the theroetical side of things and i understood everything quite well! Thanks
Excellent explanation. You explain it so well and in such a friendly way! Thank you and greetings from Germany.
@Mario's Math Tutoring, excellent video i must say. You helped me understand a topic that i was struggling to understand for the past 2 months or so.
Awesome! Glad my video helped you vistaar gilani!
I understand this a lot more. Thank you!
you sir are a blessing to all math students
Excellent! Needed this refresher. Just had to subscribe to support channel.
KEEP GOING! PLEASE DON'T QUIT MAKING VIDEOS
I absolutely LOVE your style of teaching!! I have this test tomorrow for A levels, thanks for saving me from failing!
Glad you like my teaching style Lily! Good luck on your test! Report back if you want and let us all know how you did.
Clear as crystal, congrats!
Thank you so much, I almost cried when I couldn't find anyone to help me with this in my native language, but then I found you, my savior. 😊
And I study at home, so it's a difficult situation.
Reham, I’m glad my sequence and series video helped you understand these topics better! Welcome to the channel!
This is the best maths online lesson I’ve seen this year. I wish you did more a level maths though
This video was extremely helpful, thank you so much!!
Can you be my math teacher instead lol
Seriously man, these videos are amazing. 👌
Yes Definitely Daniel! Glad my videos are helping you!
You are the best Mathematics teacher in the world.
Always cool to come back to this video ;). Thank you for uploading.
Usually I don't comment on youtube but I HAD to comment on this video. Thankyou for explaining this concept 10 times better than my prof. I'm decent at math but this is one topic that makes me wanna flip so you helped a lot. Thankyou again.
Thanks for the great videos. Your videos have helped me study for my math final.
loved this video, you've helped me in my final A-Levels :)
THIS WAS SO HELPFUL
Glad my sequences and series review helped you Lane!
god bless your soul Mr. Marlo. You're the angel I needed.
So much talented.your a good teacher indeed.
This is an awesome video, very helpful!
i cant describe how amazing this video is, 1000000/10 best teacher ever.
Playback speed at 0.75 and we are golden.
THE BESTTTTTT for m2 sat subject test
I don’t know you, but I really appreciate you 😔
Thanks Gillian! Glad my channel is helping you!
thank you man i really appreciate this its great
if only I have known sooner that the videos here on youtube are easier to understand than in our online classes, I would've been able to have better grades for 1st quarter. But anyways, atleast there's still more quarters to come and I'm glad I'm actually learning from here! Thank you so much! 🤗❤
same to me before lockdown i was a title contender but now i am below average
Thank you very much. I can now answer my module because of you 🥰🥰🥰
Your video saved the night and my stressed out daughter who’s teacher does not know how to teach. Thank you from the bottom of my heart.
Your Video is amazing i am have my finals and you taught me many things that i could get from my additional maths teacher.Thank you I am really grateful that you are here
You’re welcome Tushar! Good luck on your finals! Glad my videos are helping you!
thanks for this! been having a hard time studying due to classes being suspended, very helpful :)
Glad my video helped you!
wow straight into it. respect
Glad I found the link to this follow up video from the other one
THANK YOUUU THIS HELPED SO MUCH
Such a good teacher you ar sir.
this has been really helpful, im gonna pass igcse now
THANK YOU SO MUCH, SIR MARIO!
Hi! I must say that your teaching method is awesome. Well done, keep it up.
But I couldn't understand the formula for the sum of Geometric sequence. Can you please elaborate it further how it is derived?
This helped sooo much!
Our education learning in Ph is non, teachers are not teaching nor presenting something, they're just giving us modules to comply, Thank you for teaching us sir
thank you so much! this really helped me for my exam :)
That was short easier and brief.....kudos i would like to learn calculus from you
I quickly subscribed to this channel just after watching the first 5 minutes
This guy explains better than my maths sir, he just explains one time and his accent is weird. glad i found it
Thanks so much for the help! Couldn't understand till i watched this.
You’re welcome!
thank you for clarifying: , sequence , series, geometric, arithmetic !
Sir you are best teacher that i ever seen in my life, may God bless you every single happiness in this world and hereafter amen, love from (pakistan)
this video helps me a lot, at his time of pandemic ... As a student, i can't understand some of my lesson or the modules that they gave to me, again!!! thank you so much
You’re welcome Eunice!
Wow, great video. Your comments are amazingly good. I loved your comparisons, as they make the student think and not just memorize math. You explain every detail. 🏆🏆🏆🏆🏆
Glad it was helpful!
A big thank you from me to you sir!
Good Explanation !
Thank you so much!
Thanks for the help
Good job! If your path is heading you towards Calculus you really need to know this well.
Glad you liked the video Riley!
Excellent so far, I'm yet to finish the video. How did you figure that the second formula of arithmetic sequences on your board was that addition between the first term value and the last term value? Where does this come from?
Thank you very much for your help Professor!
You are welcome!
thanks this was very useful
Thanks a lot I learnt a lot
Thank you sir we love you❤
Thank u so much, You're an awesome teacher.
Thank you! 😃
King of math
Literally watched this video 1 once and I understand it better than in my actual math class😭
this was so helpful :D
thank u sir u. i have received a great lecture from u
I have exam today and best believe I can actually say I am 80% more prepared. Thank you. Great Job. I will be back.
Good luck on your exam JenZiva!
I have my exams tomorrow and this video really saved me and my friend
thank you so much👍😁✌️
Thank you for sharing this video. I have finished dipartment of Mathematics-Univeristy of Aegean and i found this topic very useful with perfect explanation. May i ask what equipment you use for this videos? Everyone be sure to subscribe to this channel, is perfect.