Arithmetic Sequences and Arithmetic Series - Basic Introduction

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  • Опубліковано 30 січ 2025

КОМЕНТАРІ • 935

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +183

    Sequences - Free Formula Sheet: bit.ly/4eau2KQ
    Full 2 Hour 38 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/3gNQcHI
    Sequences and Series: www.video-tutor.net/sequences.html

    • @F.I_tv
      @F.I_tv Рік тому +9

      Is this on geometric progression

  • @francisjosephcutamora8530
    @francisjosephcutamora8530 2 роки тому +441

    I learned 99 percent from this guy
    He is so calm in explaining and he has multiple examples with the same values of the other examples to be relevant

  • @lanip2646
    @lanip2646 3 роки тому +1715

    He honestly explains better than my math teacher. Thank you for this!

  • @eukiyvy
    @eukiyvy Рік тому +630

    0:29 explaining
    2:00 means
    4:36 finding the nth term
    7:12 partial sum
    11:41 sequence and series
    14:06 activity
    19:51 defined by formula
    21:06 next n terms
    22:01 first n terms given a1 and d
    22:38 recursive formula
    26:16 explicit formula
    32:13 formula for the nth term
    37:23 find sum of the first n numbers
    38:45 sum of all even numbers
    41:18 sum of all odd integers from n

  • @Goodluck-lg
    @Goodluck-lg Рік тому +125

    Bro I can't thank you enough.
    Sending love from Nigeria.
    You just saved my academic life

    • @tangerine_9627
      @tangerine_9627 9 місяців тому +4

      Hello fellow Nigerian (I don’t live there anymore tho 😅)

    • @shaebrown2872
      @shaebrown2872 8 місяців тому +3

      @@tangerine_9627 of course not

  • @escheee
    @escheee 3 роки тому +119

    My teacher took two weeks to teach this and you did it better in 40 minutes thank u

  • @gingerturner0000
    @gingerturner0000 3 роки тому +95

    I am a nontraditional student. I started college at 38 - that's 20 years after graduating high school! I basically forgot all math lol. We are currently doing this and I was really struggling to get it, but your explanation really helped. It's honestly crazy that the education that I'm paying so much for (well, my employer is mostly paying for haha) isn't helping, but a free UA-cam video does. Thank you so much!

    • @calvin9388
      @calvin9388 3 роки тому +4

      why so late??

    • @gingerturner0000
      @gingerturner0000 3 роки тому +33

      @@calvin9388 wow, that's a rather personal question. I'm not going to go into my life story and why I couldn't go sooner for a bunch of strangers online, but I will say, better late than never!

    • @calvin9388
      @calvin9388 3 роки тому +25

      @@gingerturner0000 my apologies if that question made you uncomfortable,I was just being curious. Best of luck!

    • @DarkLordZenon
      @DarkLordZenon 3 роки тому +2

      Good luck

    • @hopeenvy
      @hopeenvy 3 роки тому +3

      Good luck...I hope you achieve your dreams ❤️

  • @kentvincentbatajoy5177
    @kentvincentbatajoy5177 3 роки тому +182

    Our teacher can't explain like this :( Thanks to your video bro, it makes all simple for me to understand this topic. More power and more videos to come in your channel. Godbless!

  • @hahahuhu1268
    @hahahuhu1268 3 роки тому +931

    Why does he explain better than my chemistry teacher? Thank you so much, your videos are so underrated but keep it up, you can do what my teacher can't, teach.

    • @user-vd3pw6yf7b
      @user-vd3pw6yf7b 3 роки тому +7

      Unlucky

    • @obwankenobe6358
      @obwankenobe6358 3 роки тому +118

      Because your chemistry teacher is not Walter White

    • @kannayanagita
      @kannayanagita 3 роки тому +6

      I agree

    • @maliqmorris9570
      @maliqmorris9570 3 роки тому +26

      Maybe he explains this better than your Chem teacher because this is a math video...Are you dumb?

    • @hahahuhu1268
      @hahahuhu1268 3 роки тому +36

      @@maliqmorris9570 I know this is a math video, but his channel is about chemistry and every other video on his channel is about chemistry and I have seen plenty of them. I wanted to make him read that his videos really helped me with my struggle of chemistry so I commented on his most new video that time. I didn't have to explein anything to you but here we go...

  • @nardoshaile8108
    @nardoshaile8108 3 роки тому +6027

    Your back is heavy from carrying the whole education system.

  • @itsaeri9403
    @itsaeri9403 Рік тому +14

    i have been watching this channel for around 3-4 years already, from learning electromangnetic spectrum and force and motion to using this channel to revise for my gcse, from around 1m sub to now 6m, i need to give a really grateful thank you to you sir

  • @anuaritanjau6669
    @anuaritanjau6669 3 роки тому +293

    For the sum in the few last questions, you can also use Sn=n/2[2a+(n-1)d] . You explain really well, thank you!

    • @zunigaruth1978
      @zunigaruth1978 2 роки тому +6

      Comment puis-je l'utiliser?

    • @ronaldzazu9595
      @ronaldzazu9595 2 роки тому +12

      @@zunigaruth1978 n is the number of terms you need to add
      a is the first term
      d is the common difference

    • @Taimaz_ikisuji
      @Taimaz_ikisuji Рік тому +2

      Can you explain more?

    • @defaliana3867
      @defaliana3867 Рік тому +4

      ​​@@Taimaz_ikisuji if we change 2a to a + a, it will be like this:
      Sn=n/2{a + [a+(n-1)d]}
      The a+(n-1)d is equal to An.
      So we can also modified it to Sn=n/2(a+An). It's the same formula that this video have been taught

    • @AliBarisa
      @AliBarisa Рік тому

      Actually, I prefer the one used in the vedio. Because it reminds me that I am taking an average of the terms multiple times(n times). That way, it's easier to remember it.

  • @aloritzanne6546
    @aloritzanne6546 Рік тому +9

    The organic chemistry tutor, all the love to you guys. I 've never been lost in any of your videos and that's because of it's simplicity and accuracy. Thank you and remain blessed.

  • @krazypotato9511
    @krazypotato9511 5 місяців тому +9

    Im in tenth grade and we're two weeks in and my math teacher really likes to complicate things so I'm absolutely grateful for this video. I now know how to write the general term
    Sending love from the Philippines! ❤️❤️❤️

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    @Codexel_ Рік тому +13

    I don't know why this guy is not already at 10 MIL at least, he really deserves it!

  • @Eviemanifests
    @Eviemanifests 2 роки тому +58

    Your videos are giving me so much hope for going back and getting the education I couldn't get before , I thought I have lost it and I would never be able to study again but you explain everything so very well and understandable Im actually excited for studying

  • @nodreamisbig
    @nodreamisbig 3 роки тому +57

    thank you so much, why didn't i watch this video before omg😭 but thank god i did now, there's a month left for exams to begin. loved the fact that there were practice exercises ♥️

  • @_helzy
    @_helzy 2 роки тому +44

    Thanks alot I can't possibly imagine my academic performance without ur videos 😊

  • @gelo7955
    @gelo7955 3 роки тому +33

    It's crazy, this is the lesson we are tackling right now in our class and for some reason UA-cam recommended this to me lol it's a sign

  • @8kayplays
    @8kayplays 2 місяці тому +2

    My pre-calc teacher taught me the sum of arithmetic sequences as Sn= n/2(a1+an). Your explanation makes so much more sense. It's funny I always come here after a lecture to get a better one.

  • @malysmith357
    @malysmith357 3 роки тому +13

    Bruh I'm going to join, praise to you, I wish you the best I'm gonna cry because you teached this in so little time and you explained this in a couple minutes.

    • @malysmith357
      @malysmith357 3 роки тому +4

      Well not in a couple but very quick

  • @gabrieltoadere1792
    @gabrieltoadere1792 2 роки тому +10

    this guy is getting mvp for all the assists from anyone passing maths

  • @izkoolbuddy1982
    @izkoolbuddy1982 3 роки тому +16

    The best talaga ito. Sumi-simple ang lahat 😉

  • @muhammadumerkhan9555
    @muhammadumerkhan9555 Рік тому +491

    Legends watching one day before exam 😂😂

  • @hike8932
    @hike8932 2 роки тому +5

    so many formulas and easier methods in just this single video...
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    im solving questions so flawlessly without mistakes or anything i even memorized the formulas on the go holy crap

  • @sarinonayam263
    @sarinonayam263 3 роки тому +12

    Exactly, i understand better here than in the university math professor. Keep it up sir. Thank you.

  • @collinsomondi1494
    @collinsomondi1494 2 роки тому +7

    I dearly appreciate your efforts teachers of such kind should be promoted to motivate them

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    @jasonlawrence7155 Рік тому +4

    Thank you for this tutorial, I've been stuck for the past 3 days now and you've just sorted me out in 40 minutes haha thank you.

  • @pj668
    @pj668 3 роки тому +13

    You probably don't want to hear how bad our teachers were in explaining this unlike how you did. Even so, we, I really do appreciate you from the bottom of my heart. You've been a great help to me since 7th grade.

  • @raufmuslim4202
    @raufmuslim4202 Рік тому +8

    Thanks so much.
    I literally watch your videos when I want to remember my math topics.
    May Allah richly bless you.

  • @georgesadler7830
    @georgesadler7830 3 роки тому +26

    MR. Organic Chemistry Tutor, thank you for another awesome and basic introduction to Arithmetic Series and Sequences. These topics are common in mathematics and all the science fields. In Calculus II, there are multiple test that are used to determine convergence or divergence.

  • @bariwenikuro686
    @bariwenikuro686 3 роки тому +5

    God bless U BOSS because of u I have passed my maths exam keep doing what ur doing bro we appreciate😁😁😁

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    @maykhaeunicebacalso4551 3 роки тому +3

    I watches his video than reading my module... I can't learn by reading, I need someone that explains it and that is him😇 Thank you so much... it so easy to understand when u explain it

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    @zahra-gs9lu 2 роки тому +6

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    Man thanks to you teaching us, we understand what we are missing. Thank you so much for making videos like this! 💙

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    @malikamir2413 2 місяці тому +1

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  • @nayeshawalker-ridenour2925
    @nayeshawalker-ridenour2925 3 роки тому +24

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  • @hatdoginfridge2932
    @hatdoginfridge2932 3 роки тому +37

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    @GSU_Panther_Nation Рік тому +1

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  • @Doves_ASMR
    @Doves_ASMR 2 роки тому +6

    This man just taught me everything I learned today in math in 7 mins and 28 seconds…. My math teacher took 1 hour and 50 mins…. And I understood better from this video… Thank you!😭

    • @elijahkambu6653
      @elijahkambu6653 2 роки тому +1

      Well i hope what you say is true
      Pray 4 me in the exam

  • @papuan-black
    @papuan-black 3 місяці тому +2

    You are absolutely a legend, watched this video in high school and now in 2024 in college

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    @aceofspeed2566 2 роки тому +4

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    @Gachtutlam0954 Рік тому +1

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  • @Juliah_Marie
    @Juliah_Marie 2 роки тому +6

    All I need is a teacher like this. Like my teacher just tell us the formula and has us do everything. Learned more from this video then from her teaching a week 😭

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    @mwesigyehillary1155 2 роки тому +4

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  • @АбылайАкшулаков
    @АбылайАкшулаков 3 роки тому +103

    He goes so deep into the topic that it requires to name it "Arithmetic sequences and Arithmetic sequences"

    • @emilyazzouz3337
      @emilyazzouz3337 3 роки тому +20

      Read it again 🤦‍♀️

    • @Shadmannnn
      @Shadmannnn 2 роки тому +1

      Arithmetic Sequences and Arithmetic Series - Basic Introduction

    • @criiskies
      @criiskies Рік тому +1

      @@emilyazzouz3337bc he edited it

  • @ShurooqFadhil-lx8fp
    @ShurooqFadhil-lx8fp 6 місяців тому

    The best ever, this is my second semester at the college and this channel is the reason behind my A grades in math!

  • @dougd120
    @dougd120 2 роки тому +4

    He explains these concepts pretty well on a high level.

  • @heresourlife1690
    @heresourlife1690 8 місяців тому +1

    You Are The best teacher who has a simple and smooth way to deliver the information. ❤

  • @dewapratama4266
    @dewapratama4266 2 роки тому +3

    For me, 10 minutes worth of this video is the same amounts of one class session in my school.

  • @experience404able
    @experience404able 7 місяців тому

    one word = Amazing !!!!! Thank you. You are the best. The way you explain is very smooth and easy. right to the point. I am a mother and I never learned math to this level. gladly following your videos I can help my daughter with her math lessons and exams easily and professionally. :)

  • @jazlyncoleman9194
    @jazlyncoleman9194 Рік тому +13

    Taught me more in five minutes than my teacher has taught me the entire two months

    • @mrmeowmeowz
      @mrmeowmeowz Рік тому +2

      currently being homeschooled, but you're completely right. i'm about to cry at how competently he explains these topics (which is a bit silly, i'll admit). im just relieved that there's other means you can use to educate yourself outside of school :,) hope you're doing well with your studies!!

    • @KlayGround
      @KlayGround Рік тому

      Exactly

  • @rafikaittayeb3864
    @rafikaittayeb3864 3 роки тому +1

    Thank you so much, I'm studying this in high school in Algeria, But I understood the concept here better than school.
    Thank you again :)

  • @jayisalivingmeme5339
    @jayisalivingmeme5339 2 роки тому +3

    Your explanation as always is clearer and better!

  • @samuelowusu5563
    @samuelowusu5563 21 день тому +1

    Thank you very much for your efforts. You really make learning easier.

  • @oluwanifemikim1996
    @oluwanifemikim1996 3 роки тому +4

    I've learnt so much in just one video than three weeks in school

  • @kenkvon
    @kenkvon 10 місяців тому

    holy shit this guy explains everything im learning how to do like basic algebra since i didnt pay attention to math class for like 3 years (i mean all classes) and every time i google something or look on youtube its this guy how does one man do all of this and he doesnt stop too

  • @p-ronniepaultaguiam1452
    @p-ronniepaultaguiam1452 3 роки тому +3

    Thank You very much this is very useful you're literally carrying the whole educational system.

  • @jean-frereaubergine6551
    @jean-frereaubergine6551 Рік тому

    Omg you again. You’ve literally carried me through some of my math exams over the years. Thank you so much!

  • @Pain_xyz-z
    @Pain_xyz-z 9 місяців тому +5

    Bro is better than my math teacher x100000000000000000000 💀
    Thanksbro everything i couldn't learn in class cause i didn't understand you finally made me know it thanks so much your voice is so cool and goes wuth your explanation you deserve teacher of the century ❤️❤️❤️

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    @binaamoduoluwa1356 4 місяці тому

    He is such a good teacher. I just opened my phone having panic attack. 1hour before my exam wished I had seen this man before

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    @Onaanano 3 роки тому +5

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    @peancelt6574 2 роки тому

    I'm so glad this channel exists. I've been watching these videos since 8th grade

  • @wayne6931
    @wayne6931 3 роки тому +3

    Thank you. You immediately get to the point while my teacher keeps rambling it which makes it longer and less understandable.

  • @StopGo-b6i
    @StopGo-b6i Місяць тому +1

    This guy explains better then my math teacher 100 percent

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    @tsoanelomotai3 Рік тому +17

    Come get your flowers🥺💐

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    @umnona1089 Рік тому +1

    yours explain better than my math teacher and I'm understandable very well then before (thank you so much teacher)

  • @gerardomvrtinez5523
    @gerardomvrtinez5523 3 роки тому +11

    Hi, just wanted to say thank you for helping me pass my chem class! You did something my professor couldn’t do, teach.

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    @msxjui 5 місяців тому +2

    ilysm organic chemistry teacher 💕💕

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    @mimiminoucha9373 Рік тому +2

    Bac 2024 yes l can 🙂🙂ربي يوفقني ونجيب معدل مليح ونقرا لغة انجليزية في الجامعة وارجع اشوف لفيديو وافهم واش راه يقول

  • @üno_tà
    @üno_tà 5 місяців тому

    I just wanna say is Thank you so much!, you're so much better than the math teacher that I have😢❤

  • @tresiashileka3597
    @tresiashileka3597 3 роки тому +7

    i like the way he deliver education to the nation

  • @BlackieChanChan
    @BlackieChanChan 5 місяців тому

    Thanks so much! This helped better than anything else has!

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    @muhamadsyahmi4590 3 роки тому +4

    youre literally a lifesaver bro

  • @HojaCeesay-t7y
    @HojaCeesay-t7y 2 місяці тому

    The best explaination I have ever gets .
    Sir may God continue blessing you always

  • @KhinYoonSan-dv5ul
    @KhinYoonSan-dv5ul 2 роки тому +7

    thank you for this video

  • @ADAMSUSHAHEMBA-xu6un
    @ADAMSUSHAHEMBA-xu6un 5 місяців тому

    You’re such an amazing teacher, may God continue to bless you and add you more knowledge

  • @abdirahmanahmed4371
    @abdirahmanahmed4371 3 роки тому +3

    My teacher cant even explain like this tnx man

  • @jean-frereaubergine6551
    @jean-frereaubergine6551 Рік тому +1

    This guy single handedly explained the entirety of my maths exam material in two hours.

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    @obisiwinifred9292 3 роки тому +4

    U get engaged even more cos u understand wat he's saying and the class is short in mins. So it's not a drag but fun

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    @daviesbwalya4938 2 роки тому +3

    BRO YOU ARE NOTHING COMPARED TO MY MATH TEACHER .YOU ARE NEXT LEVEL 😇😇

  • @alexgrant-explainingmaths8077
    @alexgrant-explainingmaths8077 9 місяців тому

    This guy’s brain is not common to most scientists or mathematicians we have today! Who is this guy!?!🎉 😂 a genius is an understatement to his description! Keep it up bro!!!!!!!!! You blew my mind between time 28:15 - 36:06

  • @theclaramaya
    @theclaramaya 3 роки тому +8

    i literally have a test tmrwwww
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    • @renaaa1888
      @renaaa1888 3 роки тому

      Gl

    • @reclose5217
      @reclose5217 3 роки тому +1

      @@renaaa1888 whats the point of wishing them luck 3 months later lmao

  • @JRBX-09
    @JRBX-09 5 місяців тому +1

    Probably the first lesson in my mathematics next school year, wish me luck.

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    @XerTaaL Рік тому +2

    thanks i needed to hear allat 🎉🎉🎉

  • @electrical_shocker28
    @electrical_shocker28 Рік тому +1

    Hello!!Thanks you for explaining this!I have an examination in 3 days and this really helps out!!

  • @alishasmile7699
    @alishasmile7699 3 роки тому +3

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      @KaminoNodo 3 роки тому

      The poorest country in the World.Dear Somalians,we should fight against the capitalist west!
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      @hamzawitech 3 роки тому

      @@KaminoNodo Shame on you 🙄

    • @hamzawitech
      @hamzawitech 3 роки тому

      Me too 🇸🇴 😊

    • @KaminoNodo
      @KaminoNodo 3 роки тому

      @@hamzawitech Why?

  • @stephenmusonda7133
    @stephenmusonda7133 9 місяців тому

    I have learnt a great deal. Such an amazing tutor. He makes it easy even for first timers. Thank you so so much.

  • @jepa6684
    @jepa6684 2 роки тому +25

    watch me just forget this and flop my test

  • @michelleallums8023
    @michelleallums8023 3 роки тому +1

    I learned what to do from watching your video for only 2 minutes. WOW! Bless you!!! THANK YOU!

  • @mohamednasr1215
    @mohamednasr1215 3 роки тому +5

    hello from Egypt ♥️

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      @mohamednasr1215 3 роки тому +1

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      @mohamednasr1215 3 роки тому

      I am Muslim
      i don't think that sons of ancient Egyptians will let your country on map :))

    • @mohamednasr1215
      @mohamednasr1215 3 роки тому +1

      I think that you are ignorant of the ability of my army, as it is the ninth in the world and the strongest in the region, meaning that it is invincible
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    • @mohamednasr1215
      @mohamednasr1215 3 роки тому +1

      Use the internet to find out who you are talking about and about the greatness of the army and the civilization that he has established.
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      you idiot :)

    • @mohamednasr1215
      @mohamednasr1215 3 роки тому +1

      Do not delude yourself with things that you know very well that will not be achieved
      Speech is over. Wait for reply soon
      تحيا مصر 🇪🇬🇪🇬🇪🇬

  • @semiloreolafare3168
    @semiloreolafare3168 2 роки тому

    I missed both of these classes because i was home sick with the worst flu i can remember. Thank you so much, you made sure I didn't miss a single topic while I was away.

  • @lalywr9389
    @lalywr9389 3 роки тому +22

    Wish this video came out 1 month earlier 😢

  • @ChillGuyV2.0
    @ChillGuyV2.0 4 місяці тому

    This guy is good at Math and has a calm tone. Mad respect.

  • @spaghettisaucer8870
    @spaghettisaucer8870 3 роки тому +6

    you are what Indian guys on UA-cam look up to

  • @Aristothink
    @Aristothink 10 місяців тому

    I like to compare the arithmetic sequence sum with Gauss Sum, which is by the way where the formula came from: Mr. Johann Carl Friedrich Gauss, a brilliant mathematician that defied so many math teachers...Great video, very complete. 🏆🏆🏆

  • @KaminoNodo
    @KaminoNodo 3 роки тому +3

    Bravoo✊

  • @kgotsopeace7400
    @kgotsopeace7400 3 роки тому +2

    I haven't done this topic because of covid things but I haven't started yet at school but I think I'm understanding the chapter ❤️may God bless you