Learn how to use mathematical induction to prove a formula

👉 Learn how to apply induction to prove the sum formula for every term. Proof by induction is a mathematical proof technique. It is usually used to prove that a formula written in terms of n holds true for all natural numbers: 1, 2, 3, . . .

To prove by induction, we first show that the formula is true for n = 1, next, we assume that the formula is true for n = k, i.e. replace all the n in the formula with k, and then we finally prove that the formula is also true for n = k + 1.

Organized Videos:
✅ Sequences
✅Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
✅How to Write The Formula for a Arithmetic Sequence
✅Find the nth Term of an Arithmetic Sequence
✅Find the First Five Terms of a Geometric Sequence
✅How to Write The Formula for a Geometric Sequence
✅Find the nth Term of a Geometric Sequence
✅How to Determine Arithmetic or Geometric Sequence
✅Find the First Five Terms of a Sequence
✅How to Write The Formula for a Sequence
✅Find the nth Term of a Sequence
✅How to Simplify Factorials
✅Recursive Sequences
✅Prove the Sum by Induction
✅Find the Given Term of Binomial Expansion
✅Binomial Expansion | Learn About
✅How to Expand a Binomial

Connect with me:

#sequences #brianmclogan

[tannerwing]

Just wanted to drop a quick THANK YOU for helping me with pre-calculus! Not many people show their appreciation these days and I feel like a little gratitude goes a long way. I will be watching your lectures all semester, thank you again :)

[brianmclogan]

just a little bit more to go. Keep up the hard work. I know you can make it to a B. Go get it!

[prateekpanwar]

Wow amazing you were helping that girl when she didn't understood, My teachers would say "You don't study, So you can't understand". How am I going to understand without teacher explaining to me. You are best thanks

[slyfer]

I think the students were confused because you left out something crucial. S(K)=
S(K+1)= S(K) + K+1

So that's + K+1

In the video you forgot K in S(K+1) so that's why the substitution may have confused them

[ketalciencia]

Id get why people on the comments just talk about you being confused And that.
I personally didnt understood this on my class, so i came here, And as you Made the mistakes (i didnt know they where mistakes) i paused and tried to figure out what was happening, i assumed it can't be correct or maybe there is something more. Hit play And there you are!

For me, these kind of things strenghten your comprehension And develop your attention. I Am not Saying the teacher should always make mistakes, but we are humans, And that can happen, And it's fine, we have to understand that the teacher is there as a guide, not as a clipboard to copy and memorize his steps.

Thank you very much!

[talhotbrunnette]

OMG 2 weeks of precalc left and I'm at a 78!!! Just finished philosophy so I plan to sepnd my extra time in tutoring from here on out!!! Thank you so much for your videos you are changing lives!!!

[sageog]

well done! this clarified the step that i didn't understand.. and that how to get them over the same denominator.. keep up the good work!! you are a great mentor

[polatfayziyev]

Man u r the funniest tutor i have ever seen hahah i wish u taught maths in my uni

[carlosamado]

After 3 days, I finally get it... if I ever get rich... I buy a good chunk of your merchandise... f what everyone says... you do walk the walk

[lc]

Can someone tell me why do we proove it first for n=1, why can't we directly prove for k?

[ellenjoyservandil]

You were a big help in this time of pandemic, thank youuu 😇

[suraprod]

Thank you so much
Do you have
Proof by contradiction ?

[rangamrramesh]

Why is he getting confused in every step

[victoriamoreno]

Most of his vids are great but this was confusing

[lee_voug]

Sir are you teaching these to college students?

[harshgharlute]

Proving a formula is ok but if we re given a series how do we create a formula for that

[shivamghai]

A humble request... I think u may have got nervous or i don’t know what... but give some clear steps for the viewers to understand...Thanks for the explanation.

[tinakelly]

hi, do u offer tutoring? I'm taking calculus next year?

[diannugraha]

Thank you veri much for your explain...

[xxx-lvke]

Sorry but why in first step "1+2+3+4...n" is 1, when n=1