Proof by induction | Sequences, series and induction | Precalculus | Khan Academy

How did you get the formula of n(n+1) /2 ,
Cuz in my exam formula wasn't given. Is it question?

ngl this was still kind of confusing, but it really helped a huge bunch, even though this is just the math for it, without the actual proof structure. 🙏thx

I should just pay you instead of paying for college courses. U explain everything perfectly.

OMG Nice explaination !

I am so lost in my discrete math course but I think I’m finally understanding thanks to this video, thank you so much

I spent over 10 Horus trying to understand this and it still makes 0 sense

thank you very much! i have been struggling with this for the past 2 weeks now I think I get it!

I was first grade when he uploaded this video n now I’m in my first year college watching his videos 🤭

Thank you

🐐

صدك جذب عايشه بالعراق وادرس بالعراق واجي لواحد اجنبي يفهمني 🐸💔👎

When I distribute the K and the 2 to their respective (k+1) I get the same thing on both sides which is good. But I don’t understand how to factor out the two Ks to get it to look like (k+1)(k+2).

More please

Thank you. This explained proof by induction to me with the same example as my professor but 1000x easier to understand. No steps were skipped. Again, thank you

i must be hella stupid bc i still dont get it

"The sum of all integers including n"?

can i substitute the inductive hypothesis if there are two terms? for inequality

Way too good, save my discrete math.

Can someone help me? I understand that if we prove s(1) is true, and that we assume any number greater than 1 is true, all the way up to some number k. (i.e. s(k) ). But where does s(k+1) come from, like it just appears to me. I don't understand anything after s(k). Where does s(k+1) come from?