| View previous topic :: View next topic |
| Author |
Message |
Lepton
1:41+ Arse Scratcher
|
 Posted: Fri Mar 11, 2011 9:41 am Post subject: 1 |
 |
|
On Monday, I'm going to host a Puzzlevanian party for all my GL friends. Since you're all hungry, I've made a huge dish of a certain food (it's flat, and has a surface area of 4 square meters).
Now, the first guest to the part comes in a takes a slice that is 1/3 of the dish, but then realizes he isn't very hungry, so he puts back 1/5 of the dish -- eating just two fifteenths of the dish. The next guest takes 1/7 of the dish, but then puts back 1/9 of it. The third guest takes an eleventh, but then puts back a thirteenth. This continues for quite a while.
Two questions:
(a) What is the area of the dish that remains after the party is finished?
(b) What is the food we were eating?
Happy Monday, everyone!
Deliberately not posted in VSP... not really a puzzle. |
|
| Back to top |
|
 |
Pablo
Never Draws a Blank
|
| Posted: Fri Mar 11, 2011 2:09 pm Post subject: 2 |
|
|
The area of the dish is still 4 square meters.
The food is some kind of pi.
_________________
All religions are the same - Guilt....just with different holidays. |
|
| Back to top |
|
|
Jack_Ian
Big Endian
|
| Posted: Fri Mar 11, 2011 3:09 pm Post subject: 3 |
|
|
Well amount of meal left is SUM(-2/((4n)^2 - 1)) - 1 for n=0 to NumberOfGuests.
But I don't recognise it and I can't see any pi.
Perhaps the meal is Tart? |
|
| Back to top |
|
|
wordcross
|
| Posted: Fri Mar 11, 2011 3:31 pm Post subject: 4 |
|
|
I assure you, it's pi.
_________________
Has anyone really been far even as decided to use even go want to do look more like? |
|
| Back to top |
|
|
Jack_Ian
Big Endian
|
| Posted: Fri Mar 11, 2011 3:56 pm Post subject: 5 |
|
|
| In that case there's 3m 2 left and Gregory got half. |
|
| Back to top |
|
|
Zag
Tired of his old title
|
| Posted: Fri Mar 11, 2011 4:08 pm Post subject: 6 |
|
|
Why wasn't this in VSP?
Nice puzzle, by the way. |
|
| Back to top |
|
|
groza528
No Place Like Home
|
| Posted: Fri Mar 11, 2011 4:50 pm Post subject: 7 |
|
|
Sorry mec, I can't make it  |
|
| Back to top |
|
|
Lepton*
Guest
|
| Posted: Sun Mar 13, 2011 6:21 am Post subject: 8 |
|
|
I was aiming to represent the series 4*(1 - 1/3 + 1/5 - 1/7 + ...). Not a great puzzle, I guess.
And it's not in VSP because the point was to say happy Pi day in a very GL fashion. |
|
| Back to top |
|
|
Dragon Phoenix
Judge Doom
|
|
| Back to top |
|
|
Pablo
Never Draws a Blank
|
| Posted: Sun Mar 13, 2011 12:40 pm Post subject: 10 |
|
|
| Lepton* wrote: |
I was aiming to represent the series 4*(1 - 1/3 + 1/5 - 1/7 + ...). Not a great puzzle, I guess.
And it's not in VSP because the point was to say happy Pi day in a very GL fashion. |
You did exactly that. It was obvious to me that the solution was in that series, but I didn't know how to find the sum of it, so I opted out on a technicality. The dish, as you asked, was still 4 square meters, even with less pi on it. 
_________________
All religions are the same - Guilt....just with different holidays. |
|
| Back to top |
|
|
Pablo
Never Draws a Blank
|
| Posted: Mon Mar 14, 2011 4:09 pm Post subject: 11 |
|
|
Happy Pi Day!
_________________
All religions are the same - Guilt....just with different holidays. |
|
| Back to top |
|
|
Death Mage
Raving Lunatic
|
| Posted: Mon Mar 14, 2011 4:32 pm Post subject: 12 |
|
|
Nah dude, we still got 4 more years before a real pi day.
_________________
* These senseless ramblings brought to you by Insanity™. If you just can't figure the dang thing out, it must be Insanity™.
[YOUR AD HERE!] |
|
| Back to top |
|
|
Samadhi
+1
|
| Posted: Mon Mar 14, 2011 4:39 pm Post subject: 13 |
|
|
I've been telling all my UK friends 'NO PI FOR YOU"
_________________
And he lived happily ever after. Except for the dieing at the end and the heartbreak in between. |
|
| Back to top |
|
|
Sentran
Ray of Sucking Funshine
|
| Posted: Mon Mar 14, 2011 5:22 pm Post subject: 14 |
|
|
3.14% of all sailors are pi-rates.
_________________
Sentran
"Speaking of double negatives, I haven't read greylab yet today." - Lifeinmomland |
|
| Back to top |
|
|
Samadhi
+1
|
| Posted: Mon Mar 14, 2011 11:23 pm Post subject: 15 |
|
|
PI is a lie
_________________
And he lived happily ever after. Except for the dieing at the end and the heartbreak in between. |
|
| Back to top |
|
|
wordcross
|
| Posted: Tue Mar 15, 2011 12:40 am Post subject: 16 |
|
|
I stole that for facebook  (gave you credit, though)
_________________
Has anyone really been far even as decided to use even go want to do look more like? |
|
| Back to top |
|
|
Beartalon
'Party line' kind of guy
|
| Posted: Tue Mar 22, 2011 11:43 pm Post subject: 17 |
|
|
Heh - Tau day would be my birthday. |
|
| Back to top |
|
|
|
FAQ
Search
Memberlist
Usergroups
Register
Profile
Log in to check your private messages
Log in
