Finally found a short simple and easy way to understand this, thank you.
@ebadansari6609
2 жыл бұрын
Me too👍👏
@finnthpjac3457
Жыл бұрын
I don't usually comment, but this video was so clear and concise and desperately needed while studying for a final. Great work!
@THESYRUPKIDD1
9 ай бұрын
Good thing I paid my university tens of thousands of dollars so a guy on KZitem can explain this random set of numbers that doesn't mean anything
@whiterice6663
3 жыл бұрын
Thank you so much, I've spent all day trying to figure this out without success and your video managed to teach me in under 6 minutes. Thank you so much
@TheMathSorcerer
3 жыл бұрын
Excellent!
@eocxes
3 жыл бұрын
Fantastic video my friend. Your love and enthusiasm for math and teaching are very apparent and much appreciated.
@EugeneChei
2 жыл бұрын
Love it. Straight to the point. I was tackling my textbook for ages trying to figure it out. Glad I didn’t give up and looked here!
@enkhnyambattulga5123
Жыл бұрын
This is absolutely amazing. I've been trying to understand this topic and been looking all over that internet and all of the recorded lectures of last years and I was just really struggling because my exam was in 2 days. This helped!!!
@TheMathSorcerer
Жыл бұрын
Glad it was helpful!
@MoDiscovery
Жыл бұрын
I saw over 5 videos everything they did was complicated, but this man right here! He is the best in the bussiness💯
@garydetlefs6095
2 жыл бұрын
A very nice and simple explanation of a topic that is often buried in highly obtuse treatments. Was recently watching a video on the balancing numbers by Michael Penn who is fantastic but Lord have mercy what a complicated route he took to find a closed formula for a similar sequence with signature 6 - 1 and starting terms of 1 and 6. The oeis contains thousands of these sequences which are all indexed
@anjela435
5 ай бұрын
Thank you soo much its 3am.I have my discrete math exam at 10am and i totally forgot how to do this for some reason.thank you man
@Fido1hn
Жыл бұрын
This video was really helpful understanding this topic. I’m burning through my discreet mathematics book doing self and study and sometimes. I wonder when and why a topic like this is important to know. In essence I wish to know some of it applications to real problems. Cheers.
@jadzein4866
2 жыл бұрын
Living Legend didnt understand a thing from my professor. This is super helpful and it only took me 6 minutes to understand. THANK YOU!!!!!!
@chiranjivishahi3098
2 ай бұрын
Can't believe it my teacher write answers in two page 😂 and you solve this in one page hats off sir ❤
@garcia02
Жыл бұрын
Thank you so much!!! From the pattern that you have written, when a_n = x^2 and a_(n-1) = x and a_(n-2) becomes the constant, it means that a_(n+1) = x^3 and a_(n+2) = x^4 and so on! That solved the problem I am working on right now. Really really thank you!! I wish I could meet you in person and give you a big hug!
@georgettebeulah4427
4 жыл бұрын
This make so much sense and meaning and can relate to it a lot and understand a lot from it. Thank you.
@jonathanliang481
11 ай бұрын
Thanks man, you are an absolute LIVE AND ACADEMIC CAREER SAVER!
@jackleary691
9 ай бұрын
Wow I looked this up because struggling with homework and get a video from one of my favourite channels and coincidentally doing the first question on my homework haha thank you
@semagibato9806
Жыл бұрын
🥰🥰you are the best of best keep going.
@Queue.T
4 жыл бұрын
I was hoping you'd derive it : ) thanks for the content.
@TheMathSorcerer
4 жыл бұрын
ahh yeah I should that!!!
@Meta-Drew
3 жыл бұрын
Ahaha I saw your "math professors be like" video a while back, nice to actually be learning something from you now :)
@TheMathSorcerer
3 жыл бұрын
haha cool
@aneeshmadhavan2903
3 жыл бұрын
So simple, really understood. Thanks man
@TheMathSorcerer
3 жыл бұрын
You are welcome!
@kosaygobran
Жыл бұрын
The best and the most clear one also short video 🙏
@asma5202
9 ай бұрын
omg you saved my life! thanks a lot for the simple and clear explanation
@LordRamen12
3 жыл бұрын
Holy shit your channel name is spot on Been freaking out all day on watched numerous videos read my text was stumped watched this and actually have a clue wat to do now
@AngusMcSeven
2 жыл бұрын
This helped me understand this concept a lot more in time for my finals. Thank you so much!
@robinyadav6950
3 жыл бұрын
Hi, great video! I was wondering why you can say that a_n = x^2?
@570rm-8
3 жыл бұрын
You are the best
@PBlague
7 ай бұрын
This is soo satisfying! Awesome video!
@wh7791
Жыл бұрын
thank you so much, only one Q ((when you find c2 why did you substitute in the first condone eq))?
@NalogaChafika
8 ай бұрын
THIS IS SO LOUD AND CLEAR✅✅
@ahmedyassinenajjar1516
3 жыл бұрын
Good job, I am fascinated
@benjaminseifried3997
Жыл бұрын
Bet explanation EVER!! Thank you sooo much
@poojagurjar4918
Жыл бұрын
I was stuck after getting a single root in my problem you really helped
@aylinmousavian5068
3 жыл бұрын
Wow, Awesome, I like your way of teaching, Thanks
@nasserbrose
2 жыл бұрын
so helpful, my professor zooms through class. you are math jesus i swear.
@theblue3554
3 жыл бұрын
you're a life saver, thanks so much
@ZeroTwo00002
6 ай бұрын
so clear, ty dude!
@user-ix1bq6bk8t
Жыл бұрын
its nice to have such clarity but i still cannot understand why change a(n) to x^n and then get the final expression as you have written but why x^n /x^2 (in your case) what does it really mean to change a(n) to x^n and why are we doing it
@Dusty-Zafu
2 жыл бұрын
Thank you, this helped me a lot.
@ramondelarosa4895
3 жыл бұрын
I'm wondering from where did you get the "-2" number at 4:46 in the video? I was following up until that point.
@kirillshatalin4861
3 жыл бұрын
He told he will multiply (1=C1 + C2) by -1, and got -2 = -2C1 -2C2. Listen carefully
@TheMountainBeyondTheWoods
3 жыл бұрын
You can add, multiply, divide and subtract anything you want as long as you do it to both sides. He's trying to find the values for C1 and C2. He multiplied both sides by -2.
@MagnusTheUltramarine
2 жыл бұрын
great explanation i dont understand though whats the logic behind the n exponent in: an=c1x2^n+c2x3^n like why is it suddenly an equal exponent for both parts, when before in the characteristic equation we had different exponents, and even in the first one, when going from a_n=5a_n-1-6a_n-2, to the characteristic equation, first we get that: a^n=5a^n-1-6a^n-2 again, thanks
@joseph_slovenec6320
7 ай бұрын
For repeated root. Does it matter if so: C1x2n + C2xnx2n or so: C1xnx2n + C2x2n?
@mayajoseph5576
2 жыл бұрын
fire. thank you very much!!
@jasurjakhongirov
3 жыл бұрын
One video , one problem and a half of theme👍
@jasurjakhongirov
3 жыл бұрын
Thank You, the video helped a lof to understand
@jasj7580
Жыл бұрын
Great video, thank you
@jule7467
2 жыл бұрын
thankkk u sm u save me :)
@bogiewonderland1321
3 жыл бұрын
Thank you sir Isaac Newton!
@TheMathSorcerer
3 жыл бұрын
You are very welcome!
@SalpaReang
3 жыл бұрын
Thank you so much, tommorow i have class test
@TheMathSorcerer
3 жыл бұрын
Good luck ❤️
@habeshatiktokentertainment2893
3 жыл бұрын
great vid thanks for your lecture
@mny2954
3 жыл бұрын
thank you, very helpful
@TheMathSorcerer
3 жыл бұрын
You're welcome!
@rushb9842
10 ай бұрын
why am I paying 3 Grand for a shitty teacher in university when this guy is much simpler and smoother!
@imadnessbros20
2 жыл бұрын
How does the solution change if add 1 to all the subscripts (ie. a_n would become a_(n+1), etc.)?
@amaankhan8810
Жыл бұрын
Thank you so much sir Love from India
@TheMathSorcerer
Жыл бұрын
You are welcome!
@PMe-my1td
2 жыл бұрын
What happens when only 1number a0 is given? e.g. order1 stuff? Thanks again
@TheNachoesuncapo
4 жыл бұрын
Is this based upon generating functions?
@Rexon__
2 жыл бұрын
THANK YOU
@annibrave4875
2 жыл бұрын
Thank you
@abhilashhegde7344
3 жыл бұрын
Thank you!
@ybc8495
9 ай бұрын
can you explain how to solve this: An=5^(n-1)+2An-1 A0=1? thanks
@sovitpatel9202
3 жыл бұрын
Great explanation
@hod895
Жыл бұрын
why we replace an by x² in the first step ?
@foundereren7789
3 жыл бұрын
Thank you sir
@5mintoheaven352
4 жыл бұрын
Make some videos when the characterstics root is complex
@TheMathSorcerer
4 жыл бұрын
oh yes, good idea, thank you so much, I will:)
@Rakesh37187
2 жыл бұрын
Hmmm I'd like to know why it has that form though. Any explanation about that?
@nishna8322
4 жыл бұрын
Hi. Could we solve such a relation using backtracking?
@mockingjay_2397
3 жыл бұрын
Hey Hallie!
@alextecca
3 жыл бұрын
Hey Hallie!
@user-yc3ls4nq7o
4 жыл бұрын
2:39 what does 'recap' mean? I'm not good at english
@TheMathSorcerer
4 жыл бұрын
it just means "let's go over it again":)
@user-yc3ls4nq7o
4 жыл бұрын
Thank you I'm watching your video with respect in Korea
@TheMathSorcerer
4 жыл бұрын
@@user-yc3ls4nq7o oh wow awesome!!!
@pureradiants888
Жыл бұрын
what is the equation when x=alpha +- beta * i
@dowenylav6462
2 жыл бұрын
What happens when I can't use systems of linear equations..?
@sietzevandervinne4208
3 жыл бұрын
Shukran a sahbi
@moazosama
2 жыл бұрын
I didn't know how you got C2 and I'll dream about it all my life
@zaitmartinez5502
2 жыл бұрын
Wow! Thanks.
@sora_is_my_dad420
11 ай бұрын
I know I am years late whatever. Is it x^2 because it is a second degree because we have an n-2 term. Thus if there was an n-5 it would be degree 5 and I would instead say a_n=x^5. I think I get it but clarity is always nice. Thank you all either way!
@sora_is_my_dad420
11 ай бұрын
I get it now, I answered my own question. TY!
@bruhnugget2008
9 ай бұрын
yo but why can we just say that in the first place? that x^2 IS a_n and so on
@alex_turing
5 ай бұрын
I would like to understand more about why this works and no how to apply it
@HNMCK
2 жыл бұрын
Amazing
@oluwaseunayegbusi6724
3 ай бұрын
wow, this absoluting the best video i've watched. do you have paypal or something. I want to show my appreciate to you.
@danial9787
9 ай бұрын
I knew i could trust you
@hephthalites1829
3 жыл бұрын
What if it has no real roots?
@Madison-fx4fn
6 ай бұрын
BLESSS UPPPPPPP
@universalkidsfriscoblog
4 жыл бұрын
what if it is just a_n = 6a_(n-2)
@IslamIsDanger
Жыл бұрын
Why it works? Can someone send me to a reference?
@jacksmyth3899
3 жыл бұрын
What happens when ace of 0 = 0
@jacksmyth3899
3 жыл бұрын
with the multiplication by -2
@parkerromanek9997
9 ай бұрын
Very easy until your professor asks you to prove with strong induction!
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