Current Events > 1 + 2 + 3 + 4 + 5 + 6 + 7 + ... = -1/12

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masterbarf
04/18/18 11:33:39 PM
#1:


X = 1 - 1 + 1 - 1 + 1 - 1 + ...

1 - X = 1 - (1 - 1 +1 - 1 + 1 - 1 + ...)

1 - X + 1 -1 + 1 - 1 + 1 - 1 + ...

1 - X = X

1 = X + X

X = 1/2

Y = 1 - 2 + 3 - 4 + 5 - 6 + ...

Y + Y = 1 - 2 + 1 + 3 - 2 - 4 + 3 + 5 - 4 - 6 + 5 ...

Y + Y = 1 - 1 + 1 - 1 + 1 - 1 + ...

Y + Y = X

Y + Y = 1/2

Y = 1/4

Z = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 ...

Z - Y = (1 + 2 + 3 + 5 + 6 + 7 + 8 + ...) - (1 - 2 + 3 - 4 + 5 - 6 + 7 - 8 + ...)

Z - Y + (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + ...) + (-1 + 2 - 3 + 4 - 5 + 6 - 7 + 8 - ...)

Z - Y = 4 + 8 + 12 + 16 + ...

Z - Y = 4Z

Z - 1/4 = 4Z

-1/4 = 3Z

-1/12 = Z

-1/12 = 1 + 2 + 3 + 4 +5 +6 + ...

I hope I didn't make a typo.
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Kineth
04/18/18 11:36:04 PM
#2:


You definitely did make a typo.
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Eevee-Trainer
04/18/18 11:37:13 PM
#3:


Something something Riemann zeta function
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Minute
04/18/18 11:38:02 PM
#4:


https://www.youtube.com/watch?v=YuIIjLr6vUA" data-time="

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Doe
04/18/18 11:39:09 PM
#5:


X = 1 - 1 + 1 - 1 + 1 - 1 + ...

1 - X = 1 - (1 - 1 +1 - 1 + 1 - 1 + ...)

1 - X + 1 -1 + 1 - 1 + 1 - 1 + ...

1 - X = X

1 = X + X

X = 1/2

false
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DevsBro
04/18/18 11:41:07 PM
#6:


Of course, this is a shorthand notation for something more complex than the topic implies. Naturally, the sum of the series as anyone not trying to troll the internet would interpret it is infinity.
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Distant_Rainbow
04/18/18 11:42:21 PM
#7:


masterbarf posted...
X = 1 - 1 + 1 - 1 + 1 - 1 + ...


Wrong right from the first line, lol
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masterbarf
04/18/18 11:48:36 PM
#8:


Distant_Rainbow posted...
masterbarf posted...
X = 1 - 1 + 1 - 1 + 1 - 1 + ...


Wrong right from the first line, lol

I suspect you have no idea what this thread is about.
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IcePick
04/18/18 11:54:14 PM
#9:


In a set of natural numbers, the only possible sum is another natural number. (Closed set) There. I proved it wrong.
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Distant_Rainbow
04/18/18 11:56:04 PM
#10:


masterbarf posted...
Distant_Rainbow posted...
masterbarf posted...
X = 1 - 1 + 1 - 1 + 1 - 1 + ...


Wrong right from the first line, lol

I suspect you have no idea what this thread is about.


Nope, Just stating a simple fact where you started everything with a mathematical impossibility.
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Link meets Fire Emblem in CYOA: Tales of Elibe! Come read, and find out what happens! Click below!
https://www.gamefaqs.com/boards/468480-fire-emblem/76125431
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masterbarf
04/19/18 1:55:50 AM
#11:


Distant_Rainbow posted...
masterbarf posted...
Distant_Rainbow posted...
masterbarf posted...
X = 1 - 1 + 1 - 1 + 1 - 1 + ...


Wrong right from the first line, lol

I suspect you have no idea what this thread is about.


Nope, Just stating a simple fact where you started everything with a mathematical impossibility.

Fair enough. Excuse me.

Kineth posted...
You definitely did make a typo.

Fuck. I did put a plus sign where I meant to put an equal sign.

DevsBro posted...
as anyone not trying to troll the internet

I'm not trolling. Just seeing who on this board is familiar with the the idea, or just likes watching math videos.
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