Premium Only Content

Discrete Math: Prove that 2^n is greater than n squared where n is an integer greater than 4.
In this video we prove by induction that 2^n is greater than n^2 where n is an integer greater than 4. This question is taken from Discrete Mathematics and Its Applications by Kenneth Rosen. 7th Edition. Chapter 5.1. Question 21.
Discrete Mathematics and Its Applications playlist:
https://youtube.com/playlist?list=PLm90IN9RVLf_BneWC40564ZZAqpe2sz6-&si=bKhYao84EXCHpl6N
Induction Proofs playlist:
https://youtube.com/playlist?list=PLm90IN9RVLf-z-V3NIPi0-ZhxckZHup9q&si=hIv_gDttX16fM1F5
Chapters:
00:00 Introduction to the Question
01:04 Base Case P(5)
01:50 Inductive Step
02:10 Induction Hypothesis (IH) P(k)
02:57 Building Inequalities, The General Idea
04:00 We Want to Show P(k+1) Case
04:53 Starting with the LHS
08:05 Induction Proof Within an Induction Proof?!?! NO!!
12:03 Building the Inequalities
12:25 Putting It All Together
14:04 QED and Thanks for Watching
#discretemathematics #discrete_mathematics #induction_proof #discrete_mathematics #induction
-
1:25:15
The HotSeat
1 day agoIn Less Than Two Weeks, Here We Are Again.....
8.3K13 -
12:55
The Pascal Show
11 hours ago'THAT'S HIS GIRLFRIEND!' D4vd's Friends Speak Out Revealing They Thought Celeste Was His Girlfriend!
1.06K -
LIVE
Lofi Girl
2 years agoSynthwave Radio 🌌 - beats to chill/game to
225 watching -
33:02
DeVory Darkins
6 hours ago $31.89 earnedComey INDICTED by grand jury in shocking announcement by DOJ as Trump claims MAJOR VICTORY
34.2K91 -
2:06:23
Inverted World Live
7 hours agoEpstein Worked for CIA According to OMG Reporting | Ep. 114
127K37 -
3:14:39
TimcastIRL
8 hours agoTrump DOJ Indicts James Comey, The ARRESTS Have BEGUN | Timcast IRL
316K362 -
7:54:14
SpartakusLIVE
9 hours ago#1 Hulking MASS squashes NOOBS for viewers’ DELIGHT
69.8K2 -
1:32:21
The Charlie Kirk Show
8 hours agoTHOUGHTCRIME Ep. 98 — The Comey Indictment? Antifa Agenda? Charlie and the Cubs?
122K57 -
1:04:56
Sarah Westall
8 hours agoPolitical Assassinations, Targeted Hit Lists - Manufactured Chaos w/ Harley Schlanger
77K12 -
1:11:31
Flyover Conservatives
14 hours agoThe “J Walker” Secret: One Daily Habit That Shifts an Entire City - Tammy Hotsenpiller | FOC Show
66.9K4