Method of Proof: Proof by Induction
Hello all, for today's video, it is about another method of direct proof. In previous videos, I've chatted about Direct Proof, Proof by Contradiction, and Proof by Contrapositive. For today's video, I will be talking about Proof by Induction.
Links to previous video:
Direct Proof: https://rumble.com/v10s3i5-method-of-proof-direct-proof.html
Proof by Contradiction: https://rumble.com/vwv4zm-reducio-ad-absurdum-proof-by-contradiction.html
Proof by Contrapositive: https://rumble.com/v11w5ie-method-of-proof-proof-by-contrapositive.html
For Proof by Induction, what we are saying is that for any choice of k, if P(k) is true, then P(k+1) is true. Typically, you will see the proof by induction represented in a form of staircase or ladder. Essentially, you are given a starting point and the end result. You need to prove that because the starting point is true, the next step is true and the step after that is true.
Sections of this video:
0:00 Proof by Induction
2:25 Proof Example #1
6:45 Proof Example #2
13:24 Proof Example #3
18:00 Outro and Support my channel
Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.
For more math videos like this, be sure to subscribe to my channel https://rumble.com/user/CavemanChang
Hope you enjoyed my video! Thanks for watching!
Credits:
Custom Titles: Simple Video Making
Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ
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