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Amazing.. Video 👌👌👌👌
Has anyone told you that you are a god among men?
2019 at PJMT BUSE University says Patrick is the TRUTH!
Anyone noticed that he is left hand ed
ed, he is left hand.
do i always assume the statement is true?
You assume the statement is true. For any natural number k the statement works. So IF the thing you assumed is true, then the statement also works for k+1. Therefore, since you have already proven that k=1 works, your assumption is correct. And therefore you can conclude the statement works for 2, 3, 4...Assuming that the statement is true is vital in this case.
Thank you so much! 🔥💛
Thnx a lot.......
Thank you very much for this video I'm doing my maths exam revision now.
wow I didn't get it until I saw your video! very helpful
Halfway through the video and all I keep thinking is, "So this is what people have to deal with watching me write something left-handed? My hand covering up what I'm writing until I'm done?"
Why do you add 5(k+1)-1 to the left side and not just 5(k+1)??
The K plus 1 was shoved into the equation.
Your videos on induction, partial fraction decomposition, and derivatives are saving my life before finals rn tysm
what is the additional term for??
Too bad this would get me marked in my class as my teacher counts 0 as a natural number which disproves the base case lol
this is simply the best keep on keeping on
Goddamn, I should've watched this video instead of rereading the same section from the textbook for hours.
You have literally taught me in 6 min what I have spent up to 10 hours learning from my professor, textbook, quizzes, and assignments. You r the best TheXvid tutor. Thank you
Ive been searching for hours and this is the only vid that made sense, thanks!
*breathes a sigh of relief*
thank you kind sir.
Lol, this may seem weird but I find it satisfying to watch and learn from Left-handed mathematicians. Their hand usually is in the way of some of the problem whilst writing it out, therefore, it gives me the logical reason of being last to answer for being the only one to go back and read the problem once more. ☺
i bet i can become three times better at math than you before you can eat and transform into nothingness a full size universe!
18 seconds in; got some glimpse of some of the hint of the gist of the depth; laughed hard, kept watching on, finished the vid, wrote this comment, went on with my mediocre hair day to ongoing presents.
i'll teach you to be right handed cz your left hand really really really sucks..!
Induction must be the least elegant type of proof. We are assuming to much. And of course the result will end up correct. P(m) + X will always add up to P(m+1)
Wow couldn't be any easier
Nice clear example and explanation. I knew it wasn't hard, but the book and prof did not do what you did. Thank you very much.
Pls answer me why there’s additional i dont get it
Patrick I'm sure you get a lot comments praising you so instead just get yourself an ice cream for your well put explanation on the concept of proof by induction.
I'm confused as to why he went from 4+9+14+19+...+(5k-1) into (k/2)(3+5k)
I figured it out, he replaced it because we substituted with the P(k) expression from our assumption.
sir where is 13k coming from and why
Why we adding additional term in left hand side
Yet you save my life again...
I dont get it. Sorry for my stupidity
I wish he wasn't left-handed. His left hand acted as a barrier 😕
yea, it does get in the way sometimes. i try to be conscious of it but often forget
where did you get the times 2 in 4k/1?
Where is 5k gone plzz tell me
mnwer ya gale
Exam is in 30 minutes and yet again, I learn more from you. Cheers
just want to let you know that I'm in love with you.
8 years later, thank you!
We should write in your right hand
useful video! Thumbs up!
My discrete math assignment thanks you
Naturals bigger than zero, right? Or are you considering Natural numbers as positive Integers? Thanks for the vid
whenever im searching a topic on maths i include Patrick at the end just for em to take me straight to ya, ya are the best. thank ya
Damn, your writing is so clear and fast!
James 2: 6-7 But you have dishonored the poor. Is it not the rich who are exploiting you? Are they not the ones who are dragging you into court? Are they not the ones who are blaspheming the noble name of him to whom you belong?
Thanks a lot because of you I have courage and hope that I will pass my exam tomorrow
math makes me want to die. Your explanations make me want to die less. thanks lol