I find that when I first studied Sequences and Series in high school, all my teacher did was gave the class the formula saying "this is what it is, now deal with it." That is an extremely corrupt way to teach mathematics. Again, thank you for the explanation.

proving how a formula was derived is really important for a greater understanding and it will stick to your memory pretty well because there's a connection and not just some singular information.

@koshedekhi-6471

Жыл бұрын

Yeah that's why I prefer first understanding the derivation of a formula rather than mindlessly roting it

In the odd n sum of natural numbers part, You can derive to n(n+1)/2 by (n-1)(n+1)/2 + (n+1)/2 where, (n-1)/2 is the no.of groups (n+1) is the sum of each group (n+1)/2 is that number without a group. SImplifying the above equation gives, = (n+1)(n-1+1) / 2 = (n+1)n/2 = n(n+1)/2

That's the best explanation I've ever seen of this concept, all in ~8 minutes. thank you.

You explain things so thoroughly and take time to make me understand! Thank you!

I started browsing to explain the concept for the formula, for my grade 6 child. Though we did all this back in India while in school, I din't remember the reasoning. Amazing explanation.

@starhawk3466

6 жыл бұрын

Chandana Jonnalagadda maybe we just didn't explored the fact that how did this formula is derived?....cause our teachers did not try to explain the formula?

I love the way it's explained. Well done. Thank you very much.

Thank you very much mam for this wonderful explanation

@MathsSmart

10 жыл бұрын

You are most welcome

@KaranSingh-hb1lo

3 жыл бұрын

Namaste

Excellent explanation - Thank you!

Pretty cool explanation! Had confusion when n is odd and you cleared it! Thank you.

@firaswaffle

Жыл бұрын

Like 9= to 10*((n/2)+0.5)

Short, simple and clear explanation, thank you very much!👍

A very clever proof. Great explanation!

Is this trick applicable for whole numbers also.

Loved the way you explained it... thanks a lot!

How is the number of groups n/2 ??

Saved my life !!!! THANK YOU!!!

Very clear explanation and I would like to give thumbs up 👍

Thank You for this video and you have a beautiful voice!

Excellent explanation. Thank you!

even a grade 1 learner can understand this....it was easy and clear

Great explanation. If there's anything to criticise it would be the part for n being odd. Deriving the equation there too would have been better than simply showing that the formula used for even n would work.

Awesome ma'am's Please keep up it

Thankyou very much such a wonderful explanation

very nice explanations and highly clear voice. thanks madam

Very nice explanation Now my doubts are cleared 😍😍😍

why n-2, n-1, n when you started by adding. in this example. I want to find two. I got 1 already so 1 is my n. going by that formular, n-1 which is 1 - 2, I should get -1 and not 2. the second will be 0 (1-1) is 0 and not the subsequent number. and finally, how is n/2 gotten from. is it because, you are grouping in twos. all will be cleared if this confusions are addressed. Thanks

My 12-year-old really liked your explanation. Thank you

Now I am thinking that my teacher was not a student like me😎

An eye opener, thank you !

Amazing. Thank you so much. I'm a college student using this to understand something from an algorithms lecture lol.

thank you so much!!! ❣❣this really made it easier to understand!

10 years later..helpful 😭♥️

Mam at the palace of find the sum if at the place of sum there is find the mean than what formula we will aply

@CammandoAlone

5 жыл бұрын

Jyoti Mertia where r u from mam

Wow thats great, today i get to know from where this n came from, in my school my maths teacher just force us to remember this fomula and done.

Where was this teacher , why didn't youtube suggest me this video earlier

Thanks a lot, really appreciate it

Ma'am your explanation is very very very excellent 👍 thanks 😊😊😊😊😊😊😊 😊

your explanation was awesome , its just i got bit confused around odd sum.

Awesome video mam ..... Awesome ...😇😇😇

Mind blow! Thank you ma'am

thanks for your teaching now I know about maths

3.38 so, u r writing 1,2,3,4,5 in incresing order then why are u writing (n-1) , (n-2),(n-3) at the ending side.why -sign is there?

Very Nice Explanation. And also I loved your voice 😍😍😍

Thank you for the lovely explanation

Very good explanation thank-you

nice video. one small question: what if the series starts from a number other than 1, is there a formula for it? eg: 35+36+37+38...100

@neerajgupta7532

7 жыл бұрын

Yes. These type of series are called Arithmetic Progressions or AP. In this particular case that you have discussed, the common difference (d) i.e. the difference of a term and the previous term is always 1. Hence, this is an AP d = 1. If S is the sum of an AP, then S = (n/2)*(2a + (n-1)d) where a = first term of the series and n = number of terms in the series. In the case that you have discussed, a=35, d=1 and n=66. Put these values in the formula above and you will get sum of the series S = 4455. Another formula to calculate sum S of an AP = (n/2)*(first term + last term). Hope this helps!

How no of group will be n/2

Thank you... Very much...

how to find 6 digit number in 501 to 700

Excellent explanation

I am watching this after 10 year

Thanks mam. It was clear

Thank you from Brazil :)

it can be derived using Sn=n[2a+(n-1)d]/2 put a=1,d=1 Sn=n[2+n-1]/2 Sn=n[n+1]/2😊

Thanks for solutions from this life is easy

thats great...thanx...

This formula is pretty much gauss theory where you have to do 1st term + last term x (number of terms divided by 2.)

Hi Dear, super your explanation

I love this formulation 😍😍😍

Brilliant 😍

I am watching this after 9 years of upload

its very simple way thanks mam

wowwwwwwwww amazing explanation thanks.

😊😉🤩 good explanation tank u so much

Nice one...

Great Explanation

I am watching this after 6 years😂🤣

@achu8478

3 жыл бұрын

Also me

@sukhanthsd5348

3 жыл бұрын

after 7 years, oldest video of all time

@krishnabhatt2422

3 жыл бұрын

I am after 7😂😂

@shoub69

3 жыл бұрын

@@krishnabhatt2422 🤣

@samarpreetsingh3695

3 жыл бұрын

Me after 7

Thank you as budding programmer

What if there 5 numbers like 12345 how can you group

2020 anyone 😁

@sangeethsunil6823

3 жыл бұрын

Bro 2021

@ushasureshns100

3 жыл бұрын

Bro 2021😁

@MATRIX-nu7wv

3 жыл бұрын

2022

Your voice is so nice .

Mam...i have a question...mam why are we doing the grouping part?

@shrabanishreyapadhi1186

3 жыл бұрын

And what is the n?

I still don't get the last where you explained that for the odd number n is also using the same formula because the middle term is exactly half of n. What does that mean? In the video, n is 5 right so then it will be 5/2 = 2.5 which is not 3.

@MathsSmart

5 жыл бұрын

(1+ 5)/2 = 3 each group has sum = 6 and the middle term is exactly equal to the half of the sum of each group. only when n is odd.

Thank you mam...

I am watching this video after 9 yrs

I watched 2 minutes after that I come to know it's mathematical class I was searching this for my python class

I am watching this video after 9 years

Your lecture is very good but i have a question. What if your n is an odd number. Then do you round up the number of groups?

@-TranSyChuong

2 жыл бұрын

or add 0 before 1?

thank you very much mam helpful video

Iam watching this after 9 years

1+9,2+8,3+7,4+6,+10+5=55

God bless you

I watched it after 9years

I am watching this after 9 years

Tnku mam give this interesting clss

Ohh I'm watching it after 8yrs

I am watching around aftet 10 years I am search on Google and he suggested this video

you are very nice and respected madam

Thank you mam.

@kanisettysrikanth412

5 жыл бұрын

hi

@CammandoAlone

5 жыл бұрын

Sonal kumari hii

Great help

Please solve this question: A father is old twice of his son's age if the sum of their is 47 and the diffrent is 31. How old are the father and the son?

Wow....thanku so much mam....iss sawal kaa Javan hi khoj rhe the...jab ye formula dekhte toh sochte ye kaise aaya....aaj concept clear ho gyaa...thanks a lot 🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏🙏

Thank you very much, 😁

I'm watching this after 8 years 😂😂😀

Thanks a lot mam

Awesome explanation mam.

@CammandoAlone

5 жыл бұрын

Sonal kumari hii

I just did it in a different way, I don't know if it's valid or not. I started by adding them in terms of 1s. So for n=1, it's just 1, or n For n=2, it's 1 + (1+1) , or n + (n-1). For n=3, it's 1+ (1+1) + (1+1+1), or n+(n-1)+(n-2). For n=4, it's 1+(1+1)+(1+1+1)+(1+1+1+1), or n+(n-1)+(n-2)+(n-3) Now we have for n=2, 2n-1 n=3, 3n-3 n=4, 4n-6 n=5, 5n-10 Now we factorize by the number multiplying n. n=2, 2(n-1/2) n=3, 3(n-1) n=4, 4(n-3/2) n=5, 5(n-2) Now, we add what's inside the parenthesis n=2, 2((2n-1)/2) n=3, 3((2n-2)/2) n=4, 4((2n-3)/2) n=5, 5((2n-4)/2) Then, we notice that the number that's substracting, is (n-1) for each case. (ie. for n=3, 2 is (n-1)) n=2, 2((2n-(n-1))/2) n=3, 3((2n-(n-1))/2) n=4, 4((2n-(n-1))/2) n=5, 5((2n-(n-1))/2) Then, we notice that the factor is also nothing else but n. n=2, n((2n-(n-1))/2) n=3, n((2n-(n-1))/2) n=4, n((2n-(n-1))/2) n=5, n((2n-(n-1))/2) Then we have the same formula for every case (that's the part where I'm not sure if it's a valid demonstration. Maybe I should use induction). So we develop the formula. n((2n-n+1)/2)) n(n+1)/2

Super Teaching

a/a=1 ....eqn 1 but if a=0 then put ineqn1 what ❓will be answer

thank u madam