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Simple Math Problems

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Let's have a thread about simple math problems.


I am pretty bad at math and have barely more than high school education. But recently I sat at the toilet and wondered, what is 1+4+9+...+x^2? Then I took a piece of paper and solved it, googled and discovered that my formula is correct. It was quite fun doing it. Some of you may laugh at the simplicity, but as I said, I am pretty bad at math.

Anyway, got more simple math problems for me? It's kinda fun.
>>
If you want simple math problems like that, especially ones at your level of education, consider conics.
>>
Maybe we can get some more simple math problems if we just extend your problem!

like, if "t" is some number, what is
[math] 1^t + 2^t + 3^t + ... + x^t [/math]
?
Or we may take t to be a negative number. For example, let's flip the sign in your example. What number is
[math] 1^{-2} + 2^{-2} + 3^{-2} + ... + x^{-2} [/math]
In this case, we can even let x be arbitrary high, we can even sum all numbers!
What is
[math] 1^{-2} + 2^{-2} + 3^{-2} + ... [/math]

Or what is
[math] 1^{-s} + 2^{-s} + 3^{-s} + ... [/math]

for any number? Or even any complex number. What kind of function is that? Where are it's zero values located?
>>
>>8205240
The Roymang Seto Fangtion.
>>
>>8205187
Spivak has an awesome exercise that will show you how to find a formula for a sum of any series where each term is of the form x^n. It's in one of the earlier chapters, but I don't remember which.
>>
>>8205269
The Roymang Seto Fangtion.
>>
>>8205240
>What kind of function is that? Where are it's zero values located?
kek
well memed
>>
>>8205240
>What kind of function is that? Where are it's zero values located?

I don't know but I know where its -1/12 values are located.
>>
You have a rope that you tie snugly around the circumference of Earth. You then add just enough rope to raise the thing 1 inch off the ground all around the Earth. How much rope did you add?
>>
>>8205315
Lets just say that the circumference of the earth is c.

Lets also drop inches for units because fuck you applied fags.

Then the length of the rope is c units.

The diameter of the earth would be c/pi and you want to add 1 inch to both sides of this so you get
c/pi + 2

Then the circumference would be
pi(c/pi +2) = c + 2pi and that would be the length of your new rope in units.
>>
>>8205344
>How much rope did you add?
>>
>>8205357
2pi units of rope my negro.
>>
[math]3x + 2y = 8[/math]
>>
back from the gym

>>8205227
thanks, will google what that is later

>>8205240
yeah I already considered extending the problem in various ways but I would prefer different problems with different approaches to train my mathematical creativity. also, kinda rude that you try to meme me like that

>>8205315
let me take the physics approach: first I approximate earth to be a perfect uniform sphere. then I put that shit in some unneccessary equations that will result in ~0.1596 meters
>>
>>8205257
>>8205273
I shouldnt be laughing so hard at this
>>
>>8205273
>Showing results for Raymond Seto Fanfiction
>No results found for Roymang Seto Fangtion
>>
>>8205486
Rayman Zelta Fuckton
>>
Google "mathschallenge sum of squares" for a good explanation of OP's problem
>>
>>8205240
Holy shit, I kekked so much
Thread posts: 19
Thread images: 1


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