Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )

In this tutorial I show how to do a proof by mathematical induction.

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[tinanicole]

I watched a bunch of these, and just now got exactly what I am supposed to assume. Thank you so much for the clear explanation and handwriting.

[nicky]

Thank you gents! In just 10 minutes you helped me understand this, which my professor failed to do in 150 minutes...

[jacquelinevaliente]

BEST math video on YouTube about mathematical induction!

[courtneybourquin]

This guy is amazing! I was so lost when my professor taught it to me and even more lost when I tried to read the textbook. I only had to watch one example and it clicked right away!

[cugamer]

Thank you so much for this. I've been beating my head against induction since I started caring about it (which was yesterday) and now I think I've got it. I wasn't getting the substitution of k^2 for everything left of the +1 term in the sequence, and now I am. I think you've helped clear a major block for me.

[fadhlanwasim]

I didn't even skipped the ads just to help you :D Thank you for sharing your knowledge.

[Julia-byvz]

YOU ARE A GOD SEND. I'VE WATCHED 10+ VIDEOS ON THIS AND I DIDN'T UNDERSTAND ANYTHING UNTIL YOUR VIDEO. THANK YOU MUCH!!

[jimwatkins]

This is the best video on proof by induction that I have seen. I’m sharing it with my 12 year old grandson.😊

[chome-zfxv]

thank you so much for explaining where the k+1 came from, I watched the khan academy video and I was so lost. you explained it so much better

[thatWonKrnGuy]

Wow, after spending so much time trying to figure this out after one course, your step-by-step explanation really broke this down for me. Thank you.

[arthuraghamyan]

Thank you so much, To me it was the most understandable and detailed lesson on the Internet.

[madzs]

This is awesome! Was struggling in induction, but this helped so much! Keep making videos!! 

[Zorisx]

You are the only person who has made me understand induction so far. Thank you for your in depth approach. I wish others would follow suit

[Hioka]

Paul, thank you for this video. My "Night" just turned to "Day" with this Induction tutorial... Example was clear and very useful!!!

[moff]

I've read through my notes so many times and never got it! I then watched your videos and it clicked immediately!

[FroZenLQud]

Fantastic tutorial, keep up the awesome work! I was struggling with this at my Uni lectures and test, but I'm finally starting to get the hang of it. Thanks for keeping it simple.

[elijahsokoni]

The best mathematical induction video on YouTube. Now let me try out my exercises.

[safiyayuldasheva]

The other videos didn't help me at all. But this video was the same exact problem I was stuck on. So when he explained each step it was extremely helpful!

[adilakhtar]

huge fan of his teaching skills. Thanks a lot for even explaining small steps that made it much easier to understand.

[stefanmarjanovic]

Finally the first person that makes sense in this subject