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Brain teaser

Posted: November 24th, 2008, 7:44 pm
by dolphinatic
What's the next number is this sequence????

1, 11, 21, 1211, 111221, 312211, ??????

Re: Brain teaser

Posted: November 24th, 2008, 7:55 pm
by Barhopr
13112221


I like beer!

Re: Brain teaser

Posted: November 24th, 2008, 7:55 pm
by Barhopr
1113213211

Re: Brain teaser

Posted: November 24th, 2008, 7:57 pm
by Reel Navy
13112221, 1113213211......... Describe the previous term.

Re: Brain teaser

Posted: November 24th, 2008, 8:04 pm
by dolphinatic
Barhopr wrote:13112221


I like beer!
'Splain yo solution......

Re: Brain teaser

Posted: November 24th, 2008, 8:11 pm
by Tom Keels
The sequence:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
...

Solution: It's actually quite simple :) After starting the sequence with 1, each term in the sequence consists of groups of two numbers based on the previous term - the first being the quantity and the second specifying which digit.

Example: the first term is 1, which has "one 1" in it, therefore 11.
11 has "two 1's" in it, therefore 21.
21 has "one 2 and one 1" in it and therefore 1211.

Re: Brain teaser

Posted: November 24th, 2008, 8:15 pm
by Barhopr
dolphinatic wrote:
Barhopr wrote:13112221


I like beer!
'Splain yo solution......

Google search :wink:

And I can't explain it, I just like beer :lick:

Re: Brain teaser

Posted: November 24th, 2008, 8:46 pm
by WaltDawg
That math stuff hurts my brain. :smt021

Re: Brain teaser

Posted: November 24th, 2008, 10:17 pm
by Perch Jerker
Barhopr wrote:
dolphinatic wrote:
Barhopr wrote:13112221

And I can't explain it, I just like beer :lick:

:lol: :beer:

Re: Brain teaser

Posted: November 25th, 2008, 9:20 am
by dolphinatic
Tom Keels wrote:The sequence:
1
11
21
1211
111221
312211
13112221
1113213211
31131211131221
...

Solution: It's actually quite simple :) After starting the sequence with 1, each term in the sequence consists of groups of two numbers based on the previous term - the first being the quantity and the second specifying which digit.

Example: the first term is 1, which has "one 1" in it, therefore 11.
11 has "two 1's" in it, therefore 21.
21 has "one 2 and one 1" in it and therefore 1211.
You sir are correct :smt038

I had this one thrown at me last night by one of the profs here at school. I guess he was trying to see if I'm worth the pay :lol: Knocked it out in about 5 mins between trying to explain square roots to someone who shouldn't have made it out of high school :roll: