Mathematical Induction - Proving Divisibility by 4 (1 of 2: Test and assumption)

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[@Sir_Budginton]

I remember when I learned proof by induction. I hated it so much, and division was the worst. Now I can do it, but I still watch to see how he teaches my second least favourite topic. (Second only to vectors)

[@pilarnovillo9259]

So you're telling me that in Australia kids are studying this at school, while here in Argentina I had to study this in my first year of university..

[@priyangshudey5621]

Pilar Novillo 9

[@norceenhamdi]

In the UAE too. I took it in grade 10.

[@ScantaniouslyCombust]

I'm from Australia and I did NOT study mathematical induction in high school. Like you I only studied it in my first year of univeristy. I think the school Eddie teaches at has a strong STEM focus, so they probably have more funding to teach this stuff.

[@davidfoley1204]

This stuff is on our course for highschool maths in Ireland

[@bigboyslayer223]

@@ScantaniouslyCombust In NSW we do induction in advanced, ext1 and some more advanced induction in ext 2 maths

[@Yoavlevavi]

You are the greatest!

[@alessandrozanardi4393]

Eddie Woo you are the best. Keep going!!

[@filipharhata7534]

The way we learned in school is that in this type of exercises the first term is for n=0, 5^0+3=1+3=4 which is divisible by 4.

[@footage6402]

Please do linear algebra. KZbin as a whole can benefit from you teaching that to students across the world.

[@sjhuz01]

"pronumeral" ... instead of "variable" ... never heard that before. Vocab + math class!

[@maahirbharadia7487]

What I did after was multiply everything by 5 then subtract 12 from both sides and then can express RHS as multiple of 4 to show true for n = k + 1

[@krisromkes3637]

Edie woo to wich degree do you teach

[@IlValentino100]

"Zahl" means number, "zählen" means to count

[@Voyagerthe2nd]

Does he also teach physics?

[@guilhermefreire8093]

Voyagerthe2nd i dont think so

[@Whizzer]

Why not use N+, if we're only interested in positive whole numbers?

[@pronounjow]

Whizzer191 N+ only explicitly excludes 0, whereas Z+ explicitly excludes 0 and negative numbers, and still without including anything beyond the integers. It's better to be as thorough as you can to get rid of logical ambiguity.

[@_inabox]

Do we have to also specify that k belongs to Z+ ?

[@aserillll]

Błażej Lewandowski You assume that k takes the value of n so you don't have to say it again, n is already some positive integer and k is that value again.

[@jffry102]

I don't think so. The first statement that it is true for the positive integer n already specifies it. When k would be a number outside of that, the first statement wouldn't apply, and therefore be false anyway.

[@_inabox]

Part 2 is already up and he says he forgot to write that

[@jffry102]

It makes it more clear, yes. But I don't think it's technically required.

[@Sculman7]

I am german and didnt know the Z means "Zahl" :O

[@doji-san]

Why is there an eraser there?

[@crabby6617]

You do it a bit different to what I was taught to do.

[@aserillll]

FahimTheStrategist Its the same process just maybe longer in some parts. The essentials of induction are to establish a base case first, then an inductive hypothesis, then prove for k+1

[@mininougaming757]

there is a lot of arabic fans . if u just put an arabic subtitles you will increaseor even double ur views and subs

[@tomcook3796]

woohoo

[@WaseemHuweih-ql8bw]

CONTINUE?

[@unbound26z]

Waseem Huweih patience, he has to upload the other video

[@WaseemHuweih-ql8bw]

The Real Zazza ok