2^n is greater than n^2. Strategy for Proving Inequalities. [Mathematical Induction]

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Prime Newtons

Prime Newtons

Жыл бұрын

In this video, I showed how to prove inequalities by mathematical induction.

Пікірлер: 45
@anikethkopalle82
@anikethkopalle82 Жыл бұрын
probably the best explanation on youtube. great stuff! thanks!
@davide816
@davide816 11 ай бұрын
thank you very much you definitly need more views
@madonnacesso40
@madonnacesso40 7 ай бұрын
I love your videos man! From Italy 🇮🇹, never stop learning
@PrimeNewtons
@PrimeNewtons 7 ай бұрын
Thanks! Will do!
@Loots1
@Loots1 9 ай бұрын
took me a bit to not be confused but i get it, amazing
@rooseveltpantaleonvara9489
@rooseveltpantaleonvara9489 8 ай бұрын
Thank you, this was a great explanation I finally got it.
@shortscouture1
@shortscouture1 10 ай бұрын
absolute legend saving me from cs
@No.School.dk_Colur
@No.School.dk_Colur 7 ай бұрын
That little tmr song/ intro was so sweet
@m37155ar0cha
@m37155ar0cha Жыл бұрын
😂 love the Einstein insert!!
@Frans-ds6ei
@Frans-ds6ei 4 ай бұрын
🎉🎉 thank you!!
@franzsenkelo6246
@franzsenkelo6246 4 ай бұрын
Perfect
@austinwhite2415
@austinwhite2415 3 ай бұрын
thank you
@jumpman8282
@jumpman8282 6 ай бұрын
That was a neat solution. Thank you!
@PrimeNewtons
@PrimeNewtons 6 ай бұрын
You're welcome!
@akashthakur1692
@akashthakur1692 Жыл бұрын
Great ❤️ Love from india
@ianushkashrivastava
@ianushkashrivastava Ай бұрын
Mujhe bhi batana please last step smjh nahin aaya 😢
@shuaibjemil
@shuaibjemil Жыл бұрын
Thanks sir.Waiting for maths induction for questions in Matrix form
@PrimeNewtons
@PrimeNewtons Жыл бұрын
You should share an example. It helps. That would be Linear Algebra
@shuaibjemil
@shuaibjemil Жыл бұрын
@@PrimeNewtons ok sir
@abioolayoyledegil8698
@abioolayoyledegil8698 7 ай бұрын
Thank you for this very informative video!Im freshman in college and we had induction topic 3-4 weeks ago and i remember doing this exercise or similar to this one in class. My question is instead of step by step making it smaller in 6:51 can we just say 2k+1 is less than k² because k is starting from 5? Does that work too?
@kylebdvl
@kylebdvl 7 ай бұрын
You can actually do that what i did : >k^2 + k^2 | Take out k^2 = k x k > k^2 + k *k | k*k = 5k because K>=5 > k^2 + 5k | split into 2k + 3k >k^2 + 2k + 3k | 3k>1 > k^2 + 2k + 1
@kylebdvl
@kylebdvl 7 ай бұрын
so technically you're not wrong actually
@phiwokwakhepho1922
@phiwokwakhepho1922 10 ай бұрын
I still don't understand 😭
@JosephineSianjase
@JosephineSianjase 7 ай бұрын
Sir please improve on your board I can't see
@No.School.dk_Colur
@No.School.dk_Colur 7 ай бұрын
U need to ask yourself what you don’t get: is it the principle of induction? The principle of calculating the inequality or maybe something simpler like the calculation rules ( I know you probably didn’t need this but once u break down what u undertaken and what u don’t it becomes much easier for you to help itself understand)
@akihayakawa788
@akihayakawa788 7 ай бұрын
WAITT I GET IT NOW LOL TYSM
@lordmahakaal
@lordmahakaal 6 ай бұрын
k^2> 2k+1 What I don't get is how can put least value of k=4 in above eq?
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
May I ask that if it doesn't work for k =5,Can I work out to prove k=6and if k=6works out does that mean P(n)is true for k greater than 4.
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
Please answer me.I feel so frustrating with inequalities induction. There are so many ways and I am dizzy now.
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
Why do u choose 4k which is not 5k? Why do u want to reduce?
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
Explain me please.
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
Is it normal to reduce and can I reduce almost every inequalities like that, sir?
@dnaingnaing4345
@dnaingnaing4345 Жыл бұрын
Sir, will itbe wrong if I try to calculate =k square plus 5k =k square plus 2k plus 3k =ksquare plus 2k plus 1
@syl5217
@syl5217 11 ай бұрын
Good work. But not clear to me.
@yasir6347
@yasir6347 6 ай бұрын
Discrete math is a different beast 😅
@Ruth-be9pm
@Ruth-be9pm 8 ай бұрын
Make a video specifically for me because I still don't get it 😢
@user-ld4fw4tf6n
@user-ld4fw4tf6n 15 күн бұрын
still do not understand...good work though🙂
@anhdanh7969
@anhdanh7969 11 ай бұрын
Toan gi bo ich
@giggablob4377
@giggablob4377 3 ай бұрын
i will never understand induction with inequalities cus i can wrap my brain around the fact, that i can js change the value like that 😭
@jordanchew9552
@jordanchew9552 2 ай бұрын
Well basically that's the point. In mathematical induction for inequalities, as long it doesn't disrupt the thing which in this case, the greater than sign, you can basically make up ur own variables as long it makes the statement true. But not every variables, it only works when u try to proof it. By which in this example the 4k, because we know that k>4 which is essentially k=5, so sub it into the k^2, we get 25 right, then why it's 4k, because if we sub it into the 4(20), it's correct right 25>20 so there u go
@jordanchew9552
@jordanchew9552 2 ай бұрын
U could say that it's 3k, just that remember to fact it out that it will become 2k + k for the next step, I don't think it works for 2k, it might work but there's gonna some explanation involved as well so just follow the variables from the (k+1)^2 expanded version
@user-eu6bt1sr8r
@user-eu6bt1sr8r 6 ай бұрын
I don't understand your teaching
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