How to Prove by Induction | Proofs

[@Naton]

is it correct to say in summation, n+1 is actually indexing, seeking for the next n value? rather than n's value +1? shouldnt it use the square brackets rather than parentheses? omg i proved the practice exercise! feeling damn proud of myself!!

[@WrathofMath]

Hey Nate, thanks for watching! I’m sorry I don’t quite understand your question. Are you referring to a sum at a specific point in the video? Give me the time stamp if so and that might help me understand what you mean. And great work proving the practice exercise, you should feel proud, proof by induction can be a great challenge to understand at first. I know I found it very bizarre to start doing induction after first learning direct proofs and proofs by contradiction, and maybe a few others that all felt fairly similar. To me, induction felt way different though, because all of a sudden our proofs were written in two distinct sections. It seems perfectly natural now though, and is a beautiful technique!

[@chazy7729]

Thank you sir. Great video.

[@WrathofMath]

You are very welcome, and thank you! Funnily enough I recorded a video just like this on contradiction proofs a couple weeks ago, but it has not come out yet. Super important and cool stuff, so there will certainly be more videos like this in the future. Thanks, as always, for watching!

[@chazy7729]

@@WrathofMath Sir, you are a great teacher you are making Maths easily understandable.

[@WrathofMath]

Thank you very much. Your ongoing support means a lot, and I look forward to covering countless more topics to help everyone who stumbles upon this channel!

[@chazy7729]

@@WrathofMath Thanks again sir, for the video. 🙏🏻

[@WrathofMath]

My pleasure! And whenever you have any more requests or recommendations, I’m happy to hear them.

[@khadijaahmadyerima-iy6xi]

Please can you do a video on quadratic equation 🙏🙏