Prove by induction, Sum of the first n cubes, 1^3+2^3+3^3+...+n^3

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Math induction,
Prove by induction,
Sum of the first n cubes,

blackpenredpen,
math for fun,

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When I finally understood how we was checking the logic through Induction, I was getting HYPED as he was getting closer to solving for "n=k+1"

lukaspfalz

Mathematical Induction is actually nice and cozy. Can be used in Calculus too! And I find it amazing (thou intimidating in inequalities because it confuses me.)

jemcel

Your explanation is amazing. Succinct and detailed at the same time 🙏🏾

derrickwright

You just connected so many things in my brain. Thank you so so much

OllieWalle

Я, русскоязычная казахстанка, ничего не понимающая в английском, сижу разбираю тему в интернете, чтобы объяснить её своему ребенку. Спасибо за Ваш труд.

anzhelakryzhanovskaya

(k^2+4K+4) being factorised is also in the form (a^2+2ab+b^2) which upon reversing gives (k+2)^2 if you're not familiar with factorisation like me

Iucebowel

Thank you for this. Huge help and I love your enthusiasm!

MrsEvans-esfo

I'm learning pre-calc before I go into calc next year and videos like yours are amazing! Your explanation and work is very easy to follow and so crip! Thank you so much and I'm subscribed!

trentconley

I just started with mathematical induction and you make it so easy for me 😘
Thank you much ❤

shilpareddy

Proving the k case from k-1 is a tiny bit cleaner because you get a nice symmetry, but it obviously doesn't matter in the end. I did it with a lemma f(k) - f(k-1)=k^3.

sugarfrosted

I just loved your spirit, energy and the way you are explaining things!! I wish you were my instructor instead :(

rehamabdul-karim

Mais um inscrito. I'm from Brazil! Very good, congrats!

deathwildrift

Quem veio aqui pelo CEDERJ? RS
Thanks a lot. Great explaining, clear simple and direct!

DcMag

Thank you this, oh Great Wizard. This was very helpful!

mitchellcampbell

Thank you so much! Only because of you I understood how to proof this!!!!

weirdyyy

Easy to understand thank you very much ...👍🏻I can pick up very much fast👌🏼 thank you very much again 🙂

nandhinis

Thank you so much sir!!!
The last part is really useful and interesting!!!!

suvalinandy

Thank you sir
Your teaching method is very nice👌👌

amanpreetkaur

Amazing sir... Thanks for making this question so easy...

doyourbest

what does the box at the end means? is it just like Q.E.D.?

MrAleguerreiro

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