Induction: Fibonacci Sequence

[dmarkatia]

Eddie, you are an inspiration, a life saver, a role model and our guardian angel. In other words, you are Batman.

[isobar]

Calculus won't kill you but algebra will certainly try.

[free-palestine]

Eddie woo helping highschoolers AND college students. thank you for your good work 🙏🏾

[abdullahmajed]

Not many professors think how they will present the lesson at the easiest way think you very much sir i really appreciate what you are doing

[JCandNemo]

Wooo
You are a star.
Thanks for great explanation 

[nickcrawley]

Hi Eddie. I held Fibonacci Sequence in high esteem until I realised that Xn+1/Xn on a sequence of any real numbers converges on the Golden Ratio (phi) often quicker. I think that is much more intriguing for young minds than just one sequence. What do you think? I've got the spreadsheet demo of this but can't attach here.

[yeahya]

İt is more enjoyable than watching a good movie

[Dorito]

You're a saint Eddie, thanks a ton.

[ruchirjain]

I would pay for this guy to teach me math instead of my profs

[nadeshikofanlol]

THANK YOU SO MUCH!! Better than my professor!!

[usmanalam]

Would this not come under the umbrella of The Principle of Strong Induction?

[colina]

THANKS, AND THE WORLD NEEDING A LOT OF PEOPLE LIKE YOU!

[Eggrollstone]

I wish you were my Discret Structures professor. Great presentation and explanation!

[unknown....]

Sir, Edie woo is a real hero in a movie of maths

[kv]

I never understand. I find it counterintuitive to use the actual formula to prove itself.

[nkechiakinwale]

Thanks Eddie, this is still a great help

[osupernessa]

Great video, help me a lot!
But How do you get √5•2^(k+1) (in 10:48). When I factorise 2•2^k √5+4•2^(k-1) √5  on my computer I get  √5•2^(k+2).

[kendrar]

How do you know how many values to plug in for n in the test step? Why did you test for n=1 and n=2?

[tinkageorgewilliam]

hey..do you still remember ur math well. prove that if x and y are natural numbers such that k=(x^2 +y^2)/xy is an integer, then k=2

[AGuitarFreekOfficial]

haha wooowww. Doing this proof before watching this video, I was stuck on the (2+2sqrt(5)+4) for about an hour. Thanks for the explanation!