generic image
Processing...
  • Games
  • Catalog
  • Develop
  • Robux
  • Search in Players
  • Search in Games
  • Search in Catalog
  • Search in Groups
  • Search in Library
  • Log In
  • Sign Up
  • Games
  • Catalog
  • Develop
  • Robux
   
ROBLOX Forum » Game Creation and Development » Scripters
Home Search
 

Re: Adding past infinity

Previous Thread :: Next Thread 
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 06:46 PM
So suppose you add 1 + 2 + 4 + 8 and so on. Each number being twice as big as the previous one.

But we can multiply the whole thing by 1.

1 * x = x

So...

1 + 2 + 4 + 8 + 16 + ... = 1(1 + 2 + 4 + 8 + 16 + ...)

Right?

And 1 = (2 - 1)

So we can do this:

1 + 2 + 4 + 8 + 16 + ... = (2 -1)(1 + 2 + 4 + 8 + 16 + ...)

So we have...

... ... ... ... ... = 2 + 4 + 8 + 16 + ...
... ... ... ... ... = -1 - 2 - 4 - 8 - 16 - ...

So... Almost everything on the right side cancels itself...

1 + 2 + 4 + 8 + 16 + ... = -1

Meaning adding infinity results in -1.
Report Abuse
dekkonot is not online. dekkonot
Joined: 22 Dec 2010
Total Posts: 6685
21 Aug 2011 06:48 PM
I'm...so...confused...
Report Abuse
xSIXx is not online. xSIXx
Joined: 06 Aug 2010
Total Posts: 9202
21 Aug 2011 06:49 PM
^
Report Abuse
LocalChum is not online. LocalChum
Joined: 04 Mar 2011
Total Posts: 6906
21 Aug 2011 06:51 PM
i hate math
Report Abuse
elucidir is not online. elucidir
Joined: 08 Aug 2011
Total Posts: 243
21 Aug 2011 06:51 PM
You left out the last term in the positive sequence.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 06:52 PM
^ Nope make the math and you'll se why the 1 isn't there anymore.
Report Abuse
ArceusInator is not online. ArceusInator
Joined: 10 Oct 2009
Total Posts: 30553
21 Aug 2011 06:52 PM
Why do noobs think that infinity is a number? Was it on a cartoon or something?

Infinity is NOT a number, it is a concept.
Report Abuse
pokelover980 is not online. pokelover980
Joined: 12 Jun 2009
Total Posts: 4141
21 Aug 2011 06:53 PM
You're doing it wrong. Just letting you know.
Report Abuse
elucidir is not online. elucidir
Joined: 08 Aug 2011
Total Posts: 243
21 Aug 2011 06:53 PM
The last term.

On the right side. (It's 32)
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 06:55 PM
@Arceus

Who said infinity is a number?

I'm saying that using that algorithm to sum numbers ends up on -1.
Report Abuse
Fungalmungal is not online. Fungalmungal
Joined: 18 Oct 2008
Total Posts: 2519
21 Aug 2011 06:56 PM
It doesn't. Subtraction of infinity from infinity is undefined.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 06:56 PM
It isn`t a last term it's infinity, the ... means the sequence continues indefinitely.
Report Abuse
ArceusInator is not online. ArceusInator
Joined: 10 Oct 2009
Total Posts: 30553
21 Aug 2011 06:56 PM
"Who said infinity is a number?"

You implied that it was. How do you add past something that isn't a number?
Report Abuse
pokelover980 is not online. pokelover980
Joined: 12 Jun 2009
Total Posts: 4141
21 Aug 2011 06:58 PM
You have done it wrong, notably, once you reach the line "1 + 2 + 4 + 8 + 16 + ... = (2 -1)(1 + 2 + 4 + 8 + 16 + ...)" you start to make mistakes. This is how you would do the math:

...... = (2)(1 + 2 + 4 + 8 + 16...) + (-1)(1 + 2 + 4 + 8 + 16)

You would not assume them equal to each other, you'd do it that way.
Report Abuse
Fungalmungal is not online. Fungalmungal
Joined: 18 Oct 2008
Total Posts: 2519
21 Aug 2011 06:58 PM
The sequence 1 + 2 + 4 ... tends to infinity. So does the sequence 2 + 4 + 6 ... However, you're assuming that you can subtract these two sequences and get a valid result; you can't.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 06:59 PM
That is how you'd do the math not how you present it. For obvious reasons I used a compound multiplication instead of writing the whole thing.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 07:01 PM
@fungal Actually they are just the same sequence but after the multiplication. I separated them into two sequences for easier reading and explanation.
Report Abuse
pokelover980 is not online. pokelover980
Joined: 12 Jun 2009
Total Posts: 4141
21 Aug 2011 07:02 PM
You still did it wrong. I'll redo it for you in a correct way that makes complete and logical sense:

So suppose you add 1 + 2 + 4 + 8 and so on. Each number being twice as big as the previous one.

But we can multiply the whole thing by 1.

1 * x = x

So...

1 + 2 + 4 + 8 + 16 + ... = 1(1 + 2 + 4 + 8 + 16 + ...)

Right?

And 1 = (2 - 1)

So we can do this:

1 + 2 + 4 + 8 + 16 + ... = (2 -1)(1 + 2 + 4 + 8 + 16 + ...)

So we have...

2 + 4 + 8 + 16 + ... = (2)(2 + 4 + 8 + 16 + ...) + (-1)(2 + 4 + 8 + 16 + ...)

Using simple math...

2 + 4 + 8 + 16 + ... = 2 + 4 + 8 + 16 + ...

You're trying to represent it in a way that you just logically shouldn't in math, so you come to an invalid result.
Report Abuse
Fungalmungal is not online. Fungalmungal
Joined: 18 Oct 2008
Total Posts: 2519
21 Aug 2011 07:04 PM
Your assumption was that the series, when it was subtracted itself, equaled zero. That is not the case.

1 + 2 + 4 + 8... - 1 + 2 + 4 + 8... is undefined.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 07:04 PM
^ Actually what you did there is wrong. Let me rewrite hat last part.
Report Abuse
pokelover980 is not online. pokelover980
Joined: 12 Jun 2009
Total Posts: 4141
21 Aug 2011 07:06 PM
"Actually what you did there is wrong. Let me rewrite hat last part."

No it was not :V I passed my Algebra classes with flying colors, I know my mathematical properties pretty well. You're trying to represent it invalidly, so you're coming to a bad result.
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 07:06 PM
1 + 2 + 4 + 8 + 16 + ... = (2 -1)(1 + 2 + 4 + 8 + 16 + ...)

So we have...

1 + 2 + 4 + 8 + 16 + ... = (2)(1 + 2 + 4 + 8 + 16 + ...) + (-1)(1 + 2 + 4 + 8 + 16 + ...)

Adding it all results in:

1 + 2 + 4 + 8 + 16 + ... = 2 + 4 + 8 + 16 + 32 + ... + -(1 + 2 + 4 + 8 + 16 + ...)

Meaning that if you add up everything in those 2 sequences end up in -1.
Report Abuse
pokelover980 is not online. pokelover980
Joined: 12 Jun 2009
Total Posts: 4141
21 Aug 2011 07:07 PM
Lolwhoops I said Algebra and not mathematics :V Probably because I was thinking of Algebra and how I have Algebra II next year :V
Report Abuse
EaglEyeX is not online. EaglEyeX
Joined: 18 Jun 2008
Total Posts: 1193
21 Aug 2011 07:07 PM
And this is totally valid math. Probably not what you are shown at your age but it is.
Report Abuse
Fungalmungal is not online. Fungalmungal
Joined: 18 Oct 2008
Total Posts: 2519
21 Aug 2011 07:09 PM
1 + 2 + 4 + 8 + 16 + ... = 2 + 4 + 8 + 16 + 32 + ... + -(1 + 2 + 4 + 8 + 16 + ...)

is false. Adding an series that sums to infinity, with one that sums to negative infinity, does not give you a valid result. It's undefined.
Report Abuse
Previous Thread :: Next Thread 
Page 1 of 1
 
 
ROBLOX Forum » Game Creation and Development » Scripters
   
 
   
  • About Us
  • Jobs
  • Blog
  • Parents
  • Help
  • Terms
  • Privacy

©2017 Roblox Corporation. Roblox, the Roblox logo, Robux, Bloxy, and Powering Imagination are among our registered and unregistered trademarks in the U.S. and other countries.



Progress
Starting Roblox...
Connecting to Players...
R R

Roblox is now loading. Get ready to play!

R R

You're moments away from getting into the game!

Click here for help

Check Remember my choice and click Launch Application in the dialog box above to join games faster in the future!

Gameplay sponsored by:
Loading 0% - Starting game...
Get more with Builders Club! Join Builders Club
Choose Your Avatar
I have an account
generic image