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Brain Teaser

Blogs > Glacierz
Post a Reply
Glacierz
Profile Blog Joined May 2010
United States1244 Posts
Last Edited: 2012-04-17 16:28:27
April 17 2012 16:20 GMT
#1
What is the next line of numbers?

**********1**********
********1***1********
********2***1********
****1***2***1***1****
1***1***1***2***2***1

Please hide reasoning for answer in spoiler if you'd like to play.

*****
Zorkmid
Profile Joined November 2008
4410 Posts
Last Edited: 2012-04-17 17:06:35
April 17 2012 16:25 GMT
#2
fail
Count9
Profile Blog Joined May 2009
China10928 Posts
April 17 2012 16:29 GMT
#3
+ Show Spoiler +
312211
DarkPlasmaBall
Profile Blog Joined March 2010
United States44934 Posts
Last Edited: 2012-04-17 18:53:56
April 17 2012 16:47 GMT
#4
Count9's correct.

+ Show Spoiler +
312211


Here's why:

+ Show Spoiler +
You *read off* the previous row, matching numbers that are alike and together in the preceding row, to come up with the next row.

Row two: Row one is "one one".
Row three: Row two is "two ones"
Row four: Row three is "one two, one one".
Et cetera.

Therefore, Row six: Row five is "three ones, two twos, one one".


Yay brain teasers
"There is nothing more satisfying than looking at a crowd of people and helping them get what I love." ~Day[9] Daily #100
inlagdsil
Profile Joined May 2008
Canada957 Posts
April 17 2012 17:06 GMT
#5
+ Show Spoiler +
312211
There is nothing cuter than a zergling when it has just started taking crack
Glacierz
Profile Blog Joined May 2010
United States1244 Posts
April 17 2012 17:50 GMT
#6
Wow you guys solved it quick.
SOyuncastor
Profile Blog Joined September 2010
Mexico40 Posts
Last Edited: 2012-04-17 18:42:36
April 17 2012 17:58 GMT
#7
+ Show Spoiler +
I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see

maybe 1111 21 21 ??

arghh now is even worse 111 21 22 1 !!

my reasoning

1 = x
1 1 = x+x
(11) 1 = {(x+x)+x}
1 (11) 1 1 =x+ {(x+x)+x} + x
111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x
and last
111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x

this is driving me crazy XD

There is always someone younger and better than you.
Iranon
Profile Blog Joined March 2010
United States983 Posts
Last Edited: 2012-04-17 18:38:52
April 17 2012 18:38 GMT
#8
On April 18 2012 02:50 Glacierz wrote:
Wow you guys solved it quick.


Keep in mind that this has been a pretty commonly known sequence since its famous appearance in a 1986 paper by John Conway.
Glacierz
Profile Blog Joined May 2010
United States1244 Posts
Last Edited: 2012-04-17 18:48:13
April 17 2012 18:46 GMT
#9
On April 18 2012 02:58 SOyuncastor wrote:
+ Show Spoiler +
I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see

maybe 1111 21 21 ??

arghh now is even worse 111 21 22 1 !!

my reasoning

1 = x
1 1 = x+x
(11) 1 = {(x+x)+x}
1 (11) 1 1 =x+ {(x+x)+x} + x
111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x
and last
111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x

this is driving me crazy XD



Lol you are using too much brain, try something more intuitive. Look in DarkPlasmaBall's post if you give up =P
DarkPlasmaBall
Profile Blog Joined March 2010
United States44934 Posts
April 17 2012 18:56 GMT
#10
On April 18 2012 03:46 Glacierz wrote:
Show nested quote +
On April 18 2012 02:58 SOyuncastor wrote:
+ Show Spoiler +
I'm reall dumb so I'm having problems with this as I think the secuence is 1, 1+1, 2+1, 3+1, 4+1 and the next secuence should be 5+1 with this in mind 1 is (1) x , 1+1 is (2): which is x+x or 2x or x+x , then 2+1 is (3): (2) + (1), and then 3+1 is (4): (1) + (2) + (1), and then 4+1 is (5) : (1)+ (1) + (1) + (2) + (3) so the next one at least for me is 5+1 but like I say, im really dumb as I can't figure how, because now it repeats and evolves into a new secuence I can't see

maybe 1111 21 21 ??

arghh now is even worse 111 21 22 1 !!

my reasoning

1 = x
1 1 = x+x
(11) 1 = {(x+x)+x}
1 (11) 1 1 =x+ {(x+x)+x} + x
111 (11) (11) 1= x+x+{(x+x)+x}+(x+x)+x
and last
111 (11)1 (11)(11) 1= x+x+x+{(x+x)+x}+(x+x)+(x+x)+x

this is driving me crazy XD



Lol you are using too much brain, try something more intuitive. Look in DarkPlasmaBall's post if you give up =P


To be fair, I've seen it before many times.

As a math educator, I give this to my students for fun They often try to come up with interesting math operations to connect the rows to each other, and so they fail to come up with the next row until they think outside the box
"There is nothing more satisfying than looking at a crowd of people and helping them get what I love." ~Day[9] Daily #100
sweetbabyjesus
Profile Joined September 2010
Denmark168 Posts
April 17 2012 20:32 GMT
#11
Even with help from DarkPlasmaBall it took me a while to get it. -.-

Nice brain teaser
Crabs
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