Sum of the First N Natural Numbers | Formula and Proof

How do we find the sum of the first few natural numbers? We could do it manually if the sum isn't too big. But what if there are too many numbers to add, say a 100? We'll need to be smart then!

Let's explore a method to find such sums, and also arrive at a formula for the same.

The same logic can be applied to find the sum of any arithmetic arogression, i.e. the sum of a sequence of numbers, where every two neighboring numbers differ by the same quantity. For example, 2 + 5 + 8 + 11 + ... + 95 + 98.

#math #visualization #algebra #math #formula #sum #proof #education #learning

[adityakesari]

110=Even sum
100=Odd sum
Overall video=awesome 👍

[mohammedsufi]

Amazing!.. Best and simple way to explain these formulas. I have no words to express my gratitude. Please keep up the great work. Thank you!

[Kenvasa]

The formula for the even one is n²+n or n(n+1) n is the number of terms
The formula for the odd one is n² n is the number of terms
If we use this formulas the first 10 odd numbers sums to 100
And the first 10 even numbers sums to 110

[Krish-fm]

Hi, can i get these presentation please?

[Thoda_doxyy]

omg this made it so easy to understand. ab to ntse pakka hai mera

[kamalamalarm]

Awesome. No more direct formula. Cuemath purely based on understanding 🎉

[adityaramansinha]

great narration, very minimal and soothing animation, and very easy to understand 👌

[crazyglue]

Reminds me of the gauss story when he was 10

[prakashbeegala]

Sum on n even numbers is twice the sum of n natural numbers.

[rajendrank]

Nobody understand by your fast reading. U r wasting our time.first of to understand, before that we have to watch the figures and then we have to understand what u r saying.worst ever.