/sci/ - Science & Math

[Anonymous No.10121202]

(1+2+3+4+...) - (1+2+3+4+...) + (1+2+3+4+...) - ...

What's it equal you faggots?

[Anonymous No.10121206]

(1+2+3+4+...) - (1+2+3+4+...) + (1+2+3+4+...) - ...
= (1 - 1 + 1 ...) + (2 - 2 + 2 ...) + ...
= (0 + 1) + (0 + 2)
= 3.

[Anonymous No.10121211]

>>10121202
Its equal to
(1+2+3+..)

[Anonymous No.10121212]

>>10121202
>adding infinity

[Anonymous No.10121330]

>>10121202
>faggots
Why the homophobia?

[Anonymous No.10121334]

>>10121202
7

[Anonymous No.10121339]

>>10121202
= -1/12 + 1/12 -1/12 ...
= -1/12(1-1+1-1+1...)
=-1/12x1/2
=-1/24

[Anonymous No.10121344]

is an alternating series that gives -1/12+1/12-1/12+1/12-... and this is -1/12 multiplied by the geometric series (-1)^n and using the formula 1/(1-(-1))=1/2

we must multiply it by our -1/12 to get -1/24 as our final answer

[Anonymous No.10121358]

>>10121202
-12

[Anonymous No.10121381]

>>10121202
≈6.3

[Anonymous No.10121704]

>>10121202
each series diverges. there is no sum

[Anonymous No.10121807]

>>10121212
Based

>>10121704
This is the only correct answer.

[Anonymous No.10121838]

>>10121339
Based.
>>10121206
>not going from the second line to (1-1+1-1+....)+ 2(1-1+1....)+.....=0.5 + 1 + 1.5 +....=1/2 (1+2+3+....)=-1/24
Fool.

[Anonymous No.10122345]

>>10121344
lol

[Anonymous No.10122474]

Equal to A + B + C + ...

[Anonymous No.10122639]

>>10121202
It's not well-defined, you can arrange the sums to add up to any integer.

[Anonymous No.10122647]

>>10122639

[Anonymous No.10122726]

>>10121202
Parallel universes colliding

[Anonymous No.10122778]

>>10122647
It's the truth though, that's one of the examples they show you when first explaining calculus, convergence, etc.

Consider:
(1+2+3+4+...) - (1+2+3+4+...) + (1+2+3+4+...) - (1+2+3+4+...) ... = ((1+2+3+4+...) - (1+2+3+4+...)) + ((1+2+3+4+...) - (1+2+3+4+...)) ... = (1-1 + 2-2 + 3-3 + ...) + (1-1 + 2-2 + 3-3 + ... = 0

But then I can also make the sum equal infinity:

(1+2+3+4+...) - (1+2+3+4+...) + (1+2+3+4+...) - (1+2+3+4+...) ... = (1+2+3+4+...) + (-(1+2+3+4+...) + (1+2+3+4+...)) + (-(1+2+3+4+...) + (1+2+3+4+...) ) ... = (1+2+3+4+...) + ((1+2+3+4+...) - (1+2+3+4+...)) + ((1+2+3+4+...) - (1+2+3+4+...) ) ... = (1+2+3+4+...) + ((1+2+3+4+...) - (1+2+3+4+...) + (1+2+3+4+...) - (1+2+3+4+...) ) ... = (as shown in the previous refactoring) (1+2+3+4+...) + 0

Or, as another anon has already shown, you can make it equal any integer: >>10121206

The fundamental issue is that the commutative and associative properties do not actually apply to infinite sums like this. You need to be more mathematically rigorous to work with them correctly.

[Anonymous No.10122780]

>>10122647
https://en.wikipedia.org/wiki/Grandi%27s_series

[Anonymous No.10123016]

>>10121704
that is too fair. so certain its a singularity.

[Anonymous No.10123051]

goddamn you again /sci/

it doesn't converge

[Anonymous No.10123838]

https://www.youtube.com/watch?v=YuIIjLr6vUA

>completely fucking annihilates your meme video
Nothing personnel redditphile

[Anonymous No.10123839]

>>10121330
Why the fuck do you always post this do you really believe you can save 4chins from mean words