Sequences 4: Pascal's Triangle

[spenc193]

Wow. Absolutely awesome videos. Its funny how realizing these connections fires up my interest in the math. When we see real meaning in the figures and start to relate them to the reality around us, it means so much more than just learning numbers for the sake of it (a la math class). Thank you for being so enthusiastic. Your enthusiasm carries over to everyone who watches this.

[nickdasportsguy]

You make it look so easy

[fathomtheuniverse]

you are great at explaining



[Drezero13]

amazing spread the knowledge!

[DelGeeZee]

im getting pwned in calculus because i forgot this stuff/

[bloodredorion]

You always look so happy when you're doing the math. It's wonderful to see people when they get that enthusiastic about the things they love to do. And you make everyone else enthusiastic too.

[pure5abi]

Sir, when I am demotivated or feeling down, and cannot concentrate on my studies. I come to your videos...to get that fire back! Thank you!

[wpetersen9]

I get it now!! o dayyumm

[KittyPlaysViolin]

Woah! The kanji looked way different back then.

[templar19]

Wow, I've never seen Pascal's triangle written out like this, but it makes perfect sense to do it like that! That'll make binomial expansions WAY easier.

[apiw07]

Thanks! this is very helpful...

[ihatelumberjacks]

He looks like an ancestor of Darwin...

[genesisretes]

i have a question,when you arrange the nos. and showing the relation of fibonacci and pascal you said that the next number after 8 is thirteen but i think its only 12

[faildrian]

@genesisretes he said that if he went down another row it would be 13

[556suppressor]

Is that how the Egyptians built the Pyramids ?

[mistadreadman]

You hosted my math class video's, thanks!

[Rsnerd4eva]

Im in 7 th grade and this is easy!!!!

[suthyy]

@Rsnerd4eva it may look easy but when you apply this method to compicatated questions it is a bitch!

[salmaahmed69]

what is his name? he is great!

[SAM1446]

sir ur a lifesaver!!!!!

[twilight0111]

He is an amzing math teacher but doesnt he look like a gym teacher?

[hyperhumana]

pomerdane...

[szero38]

this is better than any in college!! hands down!!

[circleboy78]

great teacher

[MsMadame]

I can just shout with joy. My word, I've got it...

[URZeroGravity]

In some areas, people pay to learn this.

[MyAccountman]

man, i keep noticing what hes going to say before he says it. i feel smart, but idk

[ZnBangash]

Thanks, I was a little bit confused @ the exponential increment/decrement part before, but now I get it.

[hofmom6]

Amazing teacher!

[Megatal300]

Can you not do Alphabet sequencing???

[lordy500]

Thankyou! so much better than my math teacher!

[Radiohead1984]

This man is an extraordinary teacher

[3bdullah289]

nice t-shirt

[MrJohnAlexanderG]

wow. i get it now

[ShugglesStuff]

GREAT explanation! Thank you SO MUCH!

[Kekat147]

this is confusing..i just need help with my project..on blaise pascal..can u explain?

[jeremywarn]

good explanation

[jtzy23]

2:44 , i don't understand why there is no increase of power for the y ??? Why power only increase for the x???

thx :D

[0748821365]

@jtzy23

x starts with 5 and decreases to 0 while y starts from 0 and increases to 5 :)

[Aman3127]

is pascal's triangle used in grade 12? If so then can u plzz post a few equations at a grade 12 level that are related to pascals triangle. thank you very much

[mortinus00]

Wow!! Very interesting. I love patterns like this ^_^ It really helps me understand different areas for some reason...

[andreazoj]

That was interesting, moving on for your next films

[CircleFly]

This has been very helpful. Thank you for putting this and many other videos on YouTube. You're a dedicated mathematician.

[murchie85]

I love this guy!! he is multi lingual too!! Brain box!

[missjuly03]

i always got zero when we have a quiz.. T.T so depressing..

[missjuly03]

huhuhuhu somebody help me.. i really hate mathematics T.T

[blakehutube]

Very interesting

[Tonty53]

Grande!!

E' bello e affascinante vedere che molte cose hanno tra loro una vera e propria relazione matematica.

Bravo!

[ZeroAndMystery]

Thanks, you just helped me to do my homework

[DrPott3r]

great stuff

[bdub24j]

Excellent instruction, and nice info about the Fibonacci sequence.

[xholybunniex]

Thank you so much.

You explained it really well.

[GR1o6180339887498948]

So we started with addition of 2 numbers, we raised this addition to powers to get the binomials, we generated Pascal's triangle, from there we generated the Fibonacci sequence, and from there we can also get the Golden Ratio, my user name or me :)

[JESSFALLINGDOWN]

thank you

[VietPucca]

Great job! you narrowed it down well!

[chowbling]

omfg awesome man, ima tell my math teacher bout this lol

[SliverNarnian]

i am only grade 5...i only know Geometric, Arithmetic, Triangular, Square and Fibonacci sequence...i dun really understand this video at all, hope i will get it sooon, haha

[xMrElix]

Congradulations for knowing those, but they are very simple patterns, its not difficult to know.

But since you know the Fibonacci sequence. Take a look into the Golden Ratio. Since your only in 5th grade it will greatly impress everyone. and there are other ways to get it without Fibonacci. just easiest it you know it

[echimadrian2007]

the last pascal triangle you said ..8..12 but is 13: 1 1 2 3 5 8 12 and not 13. Please remath.

[arneenra]

I guess you didn't think of the "1" that should be in front of the "5". So it isn't 5+6+1. It is 1 + 5 + 6 + 1. =)

You have to write the next line as well.. So that you get with the "1" in start.

[abbesieyes]

'Someone' may well have beaten Pascal to the punch. Take a look at the shape of the alcove in the following vid @ 07:55. being 4 tiers high...and compare with the outline of pascals triangle @ 04:14. Interesting...

watch?v=VHSY75NP0hI&feature=re­lated

[themarman]

Never knew that the pascal triangle and the Fibonacci series are related. Thanks

[NarutoSJAnime]

He died in Paris on Aug. 19, 1662. His father, a local judge in Clermont, and himself of some scientific reputation

[rmc482]

thats really great

[pnoyguitar]

Pascal Triangle is great. . Fevanaci sequence?...never heard of it.

[deadgirl17]

I was following your sequences lessons up till now.....but you've lost me now, what's an "exponent" for eg? Lost me completely.

[scientistwriter]

Wow I didn't know that Fibonacci was lurking in Pascal's triangle somewhere. This is very amusing and interesting.

[abbesieyes]

Is a pascal triangle incorporating any number beyond the numbers 1-9 not misleading or redundant?

[0wnt1]

It depends. Im cureently in Math B and im practicing for the regents (don't really need it, ive gotten 97-100 on 3 tests so far) and there has been situations where you may need to go as far as (a+b)^11

[abbesieyes]

Thanks for the response. Under what conditions have you found it necessary to apply ^11?

[0wnt1]

Well, i forgot exactly which regents it was, it may have been Jan. of 2008, but they give a question like, "What is the coefficient of the fourth term in the binomial expansion (x+y)^11?"

[egeneral27]

awesome! i love your work, its a great help

[FRIEDCHICKENISGOOD]

Very well taught.

[tubewatcher77]

Aha, this is the way how they want to communicate with E.T., or should we better send the prime numbers.

[johntkucz]

great work! didactic and helpful. It would be cool to supplement in Magic 11s, Primes (if first number in a row is a prime, all other row numbers are divisible by it), Points on a 0, and Triangle #'s. Pascal's triangle (along with coefficients and fibo is just LOADED with mathemtical synergy!

[2terence2jones]

the beauty of mathematics.

[buttox01]

that already is a formula.

[Shainkov]

nup, what i'm saying is to simplify the process.

if you use abcd (4 elements) then the formula will be : (a+3c)-(3b+d) ,and you can notice the 1331, and with 5 elements will be :(a+6c+e)-(4b+4d) , and if you rearrange it, a 4b 6c 4d e<-- 1 4 6 4 1 ^^

[Shainkov]

have you notice you can built that triangle just by substracting numbers to anothers?

a (a-b) [(a-b)+(b-c)]

b (b-c)

c

now built a formula to resolve that automatically for more numbers(d,e,f,g...z).and you'll find pascal's triangle too.

[ujb5z987]

that's awesome

Good job ^^

[AlexandreCisneiros]

Just one word: great. ;)

[KodeLiMe]

Very fascinating. I'm trying to get good, but I don't know if I can get as good as you are. KEEP POSTING!