Sum of an Arithmetic Progression (1 of 5: Visual derivation of formula)

[thibautbelliere]

Most of the time, teachers just tell us to study the formula without explaining but you explain it so nicely wich it helps us to memorize it at the first view.
Than you for your work!

[laisladelace]

The visual derivation pictures are sequentially logical, wonderfully color coded, and super clear. This video is still the best derivation of the sum for an arithmetic series video that I have been able to find ever since I renewed my studying of the derivation in 2018. Thank you so much for your work and for sharing it with the world!

[hafsaa]

I've never understood this formula but the visual has helped so much! Thank you :)

[_shirsenduroy]

hope I had a teacher like you, when I was young...

[abhishekhmishra]

You are outstanding 👍
A lot of love from Nepal 🇳🇵
Most of the time teachers tell us to remember it, but now after this explanation I don't even gonna to remember it ... You make us understand beautifully

[lacimoore]

This formula is also derived from the formula for a triangle. (1/2)bh or in this case (1/2)n(a+l).
This is amazing!!

[prabhatkiranchaulagain]

Unfukin believable!
Now That Is A Real Math Teacher Right There!!!

[KSF_Foundation]

the best teacher. Eventhough English is my second language, ur explanation is good enough for me to understand.

[whoisgliese]

This blew my mind, I didn't know there was such an intuitive way of understanding this formula

[shub]

If youre learning maths I highly recommend this channel!

[leobinusting]

Great explanation!!! This visual explanation truly helps a student to understand arithmetic progression more deeply! Really great work! Salute u, Mr.Woo !

[robert]

actual legend. what a concise and understandable explanation and visualization. cheers!

[Someone-zxxd]

The great thing is not to be able to understand it, but to be able to invent it. Don't be so happy if you understood it, be happy if you first discovered it and came here to find out that it is the same thing you discovered.
Maths is not about memorization, but creativity. Understanding and remembering it is memorization but discovering it is creativity.
I feel very bad that no matter how hard I think, I can never come up with these kinds of things.

[akkaunique]

Woww 🥺🥺❤❤ what a explanation 🖤 your the best teacher I had eer got.Wish I was a student of you.( Lv from 🇱🇰 🇱🇰 🇱🇰 Sri lanka)🥺

[gungeternal]

Dear Mr Woo,


Might Seem Irrelevant to ask here but, I would really like a moment of your time if possible.
First of all, thank-you for your diverse, effective, and passionate way of conveying the language and art form of mathematics to us, for an entire range of ages and cultures globally. It was powerful enough to change me from a fixed mindset of "I just can't do maths, English is all I have" to "I can maths, I love maths, give me the extension, I want to know more". But most importantly I am here because, I would be more than delighted to see a video from you about how natural intricacies and wonders, revealed by means of mathematics is testimony to Creation, as by means of further understanding mathematics and sciences, it becomes evident that there must have been a grand creator who architected the Natural Wonders.


Thank-you SIr

[sharmajikapercentagewall]

0:50, a student admiring sir's well-maintained figure, NICE!!👍

[jacksparrow-]

Thank you so much teacher. This formula was draining my mental energy

[scmtuk]

In the case of odd numbers:
1 + 3 + 5 + 7 + 9 + 11 + .... + (2n-3) + (2n-1)

Duplicating this, and then adding the first and last term, we get:
1 + (2n-1)

There are "n" columns, so this becomes n(1+(2n-1))
This then simplifies to n(2n) or 2n^2
Then dividing by 2 again gives us n^2.

Hence the sum of the first "n" odd numbers = n^2

[poey]

oh my god thanks so much this genuinely made it so clear to me

[abhishekDhiman]

I wish you were my teacher when I was at school