Induction Inequality Proof: 2^n greater than n^3
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- เผยแพร่เมื่อ 2 ต.ค. 2024
- Induction Inequality Proof: 2^n greater than n^3
In this video we do an induction proof to show that 2^n is greater than n^3 for every integer n greater than or equal to 10.
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Thank you:)
am i the only one who literally can't do induction problems no matter what? my little brain just can't understand this doesn't matter how good the explanation is
feel you
These are really tough. It takes a while to wrap your brain around this. I can get through most of it, but still having trouble finishing the problem.
@@chrisdiner7170 i didn't study maths in highschool nor in college now solving such problems gives me a little heart ach 😂😂 only i know how I'm suffering through my master's degree in computer application where maths n algorithm analysis is my biggest pain 😂😂😂
a little confused on how you put 2 next to k^3....😅
he multiplied both sides of the inequality by 2
The beautiful of learning how to use reverse CLT. Break up like terms and compare.
What is reverse CLT?
@@alexandertownsend3291 , breaking up 3x to be 2x + x, CLT means collecting like terms. 😂😂😂
@@mrheng562 Oh that makes sense I have just never seen anyone call it CLT before, I had only seen combining like terms. Thanks for the clarification.
@@alexandertownsend3291 , it’s a high school short hand. 😂😂😂
Lol When I think of CLT, I think of the central limit theorem
Sir as third last value is completely greater than of the fourth last then also we need to give both greater than and equals to sign only greater than is not enough?
Im a little lost. You proved 2 * k^3 is greater than (k+1)^3 (assuming k=>10). How does it follow that 2*k^3 is less than 2*2^k?
He used the Induction Hypothesis (which is 2^k > k^3), and multiplied both sides by 2
Just a clarification, can't we just say that since 2^k is greater than k^3, 2^k*2 will also be greater than k^3*2
Recently found your channel. Amazing stuff really! Helping me with my discrete math self study alot
i lost it at 3k + 3K. how did this equation come????????????
@@WebDevAnjali from 10k
Thank you so much Dear friend for your valuable time for making this amazing lecture 🤗
🎉 MN. Bb09g😅
Thank you very much!
Omg THANK YOU I was so confused about PMI
Yeah this one is tricky!
WOW!!!
Can't we solve it by putting the whole equation on one side other equation on other side?
how do you if it is 4^n >n^3. n in N i try to expand but there won't be enough for natural number
UoL midterm uh?
Thanks magic man
5:46 why do we add
Sir... I am have zero background in mathematics.. Now i still try to learn math, because some condition make me to do that. I want to ask you how you organizing your math notes (because math have many different subject) i'm very confusing with it.. Please reply my problem T_T
How far are you in math?
@@alexandertownsend3291 I don't know the topic in english language,. I think im on algebra topic
@@Ardanputratama Math is just as much about language as it is about numbers. If you struggle with English that can make learning math from sources in English tougher. My advice would be to either find math books in a language you feel more comfortable with, or build up your English language skills. Look up pre algwbra textbooks and if those seem too easy, look up algebra 1 textbooks. Don't feel bad English is a tough language even for native speakers.
@@alexandertownsend3291 thanks bro... Can't imagine how can i do math someday with big step up
@@Ardanputratama chill bro i'm on the same boat we just need to give 10 extra hours to this sub i didn't had maths in highschool but took it in graduation n masters at first i cried as i didnt know any math's symbol n it's related usage i didn't even know what to google at sometimes as i have no clue what ancient language it's written in lol load's of weird signs . i still cry sometimes when can't understand nothing. Crying right now too but i'm happy 🙂 "bus lage raho youtube pr related playlist save krlo n practice over n over again it's the key, time lagega bt ho jayega " all the best to u
Why we use equal