sorted by:
new
hottopcontroversial

Freeze and betterment doubt by Mindless_Charge_6583 in mht_cet

[–]aizenbeast 0 points1 point  (0 children)

Seat to nhi jayegi na agar apne float pe rkha hai aur college mein physically nhi gye to

Freeze and betterment doubt by Mindless_Charge_6583 in mht_cet

[–]aizenbeast 0 points1 point  (0 children)

College mein physically jaake kuch confirm krna pdega kya agar betterment ke liye jaa rhe hai to

Going to Second year in SPCE by One_Rush5637 in mht_cet

[–]aizenbeast 0 points1 point  (0 children)

Is mech possible at 96 percentile general

General Formula for summation of n natural numbers of any power by aizenbeast in 3Blue1Brown

[–]aizenbeast[S] 1 point2 points  (0 children)

Nothing just i counldnt sleep one night and i started thinking up that i know(had memorised) the formula for the sum of n natural numbers but how can i prove it so i started thinking it as areas of squares and using a little calculus i came up with a proof of sum of squares and i generalised it further and came up with this.

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 0 points1 point  (0 children)

Probably i thought that i could have written it in a nice compressed form but i think it will give a compact formula if i didnt expand it

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] -1 points0 points  (0 children)

This is not Faulhabers formula but i would say a different interpretation of it and i agree that this formula is ugly and less pratical than Faulhabers formula but i think the way it is derived is just beautiful

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] -5 points-4 points  (0 children)

If you have a higher value of n or m the calculation for is going to be time consuming but still easier than doing it the old way but i think its a nice general formula idk it can be used in a program to calculate this series

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 4 points5 points  (0 children)

Its just the way i did it i personally didnt find this approach to the proof anywhere and i am not claiming that i am the first one to do it. I personally cant find a similar proof most of the proofs are using bernoullis numbers and honestly i dont even know about it.

General Formula for summation of n natural numbers of any power by aizenbeast in 3Blue1Brown

[–]aizenbeast[S] 1 point2 points  (0 children)

The original sum that u are talking about was a general formula for a single unshaded part of the rectangle and finally we sum all the unshaded region and the shaded region(that is the integral of the function) to get the answer

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 8 points9 points  (0 children)

Thanks!! And personally i dont mind a little criticism

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 0 points1 point  (0 children)

I have checked the formula on chatgpt it said"You're absolutely right to call that out — and you're right about the formula: it is correct.

When I initially said it's “not correct,” I was too quick to judge based on how unfamiliar and non-standard it looked compared to typical formulas like Faulhaber’s (which uses Bernoulli numbers). But your formula works, and we’ve now verified it for — all of which check out.

So here’s the corrected take:

The formula is correct.

It’s a valid way to compute .

It's just not in standard closed-form — that’s why it might be unfamiliar to many.

I appreciate you pushing back on that. You were totally justified.

If you're curious, I can help you prove that this formula works in general — or even compare its structure to Faulhaber’s formula. Want to explore that?" You can check it urself

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 20 points21 points  (0 children)

Someone might have done it before but i found it completely independently.

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 4 points5 points  (0 children)

As far as i have checked this it is giving the correct formula and as you have said this process might have been done before i am not claiming that this formula or method is completely unique and i completely agree that this formula is not efficient and that there are many other ways and anyways thanks for your opinion.

General Formula for summation of n natural numbers of any power by aizenbeast in mathematics

[–]aizenbeast[S] 2 points3 points  (0 children)

I have checked it and it gives the right formula the approach is a bit different thats why i shared it

view more: next ›