honestly sir you are a grade saver for me had i known your chanel before I would have done all the semester with amazing grades but still you teach very well .
You can also use Distributive Property instead of Factor Law on this: k * (k+1) + 2 * (k+1) = (k+2) * (k+1) I mean, no need to expanding everything to k^2 + k + 2k + 2 which is kind of confuse. Nevertheless, thank you for your series of videos!
He didn't, he substituted the [1 + 2 + 3 + ... + k] part from the expression [1 + 2 + 3 + ... + k] + (k + 1) into k(k+1)/2, which yields the result [k(k+1)/2] + (k + 1)
I understood the mathematical induction for the first time after, you explain everything so nicely. Thank you so much for your help!
honestly sir you are a grade saver for me had i known your chanel before I would have done all the semester with amazing grades but still you teach very well .
The person you are refering to in the begining is called Gauss
You can also use Distributive Property instead of Factor Law on this:
k * (k+1) + 2 * (k+1) = (k+2) * (k+1)
I mean, no need to expanding everything to
k^2 + k + 2k + 2
which is kind of confuse.
Nevertheless, thank you for your series of videos!
Yes, this is a faster but more advanced way, some people might not notice it and would go the standard route.
We used to write 'hence proved' at the end! Thanks for the class
Why is Pk+1 true @8:32?
i like u trevtutor
How about the difference between weak and strong induction?
4:58 why do you add that k+1?
same question
I think by adding k+1 to the assumption (k(k+1))/2, you are proving n = k+1 to be true
He didn't, he substituted the [1 + 2 + 3 + ... + k] part from the expression [1 + 2 + 3 + ... + k] + (k + 1) into k(k+1)/2, which yields the result [k(k+1)/2] + (k + 1)
it was Gauss!
How do your vides not have thousands of likes? You are literally saving me in Discrete Math. Thank you SO MUCH.
6:40 "And that's how a duck quacks!"
Very helpful.
Oh man thanks
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