What is the next nuber in this sequence?

76, 77, 78, 79, 20, 27, ???

I heard this riddle a few days ago and instead of a few minutes I spent the whole hour thinking about it but I did not find a solution.

Can you?
Posted on 2006-04-04 05:50:06 by Milos
Milos,

Perhaps your question should be posted at a site such as the one listed below.  Ratch

http://www.syvum.com/teasers/
Posted on 2006-04-04 07:55:33 by Ratch
I think it should come in "some work out ofr the mind"...

I see more than one solution... but guess what is the correct :P...

Graphically: I see that should come 22 because if you continue 20, 21(7 is like 1 :P here the graphic), then 22 ;)

Other: to change to 20, you see that 79 have a diference of 2 that is the first 2 in 20, now you have two options: 20, 27, 34; or some like have a limit of the next 10 numbers that you start from the first, in this case I guess 70 (before) and 20, then the next limit is 30 (is not touchable), then, taking the 27 like the last, the diference is 5 (thus the first number) and you will count from 2 in 2, taking the first digit of the anterior serie: 20, 27, 50, 52, 54, 56, 58, 30, 35, 20, 23, 26 and so on.
Posted on 2006-04-04 12:24:22 by rea
rea,
Have you considered the fact that in the first group of numbers if each pair is comprised of two individual values, you could add them together to see a progression.  In other words, 76, 77, 78, 79 would become 13, 14, 15, 16 which could become 4, 5, 6, 7.  I am unsure how this would relate to the next two numbers but I will think about it.  I thought you might find it interesting, also.

Paul
Posted on 2006-04-04 17:28:14 by PBrennick
Now while you guys are figuring this out
I will go lookup a good head shrink. :shock:

well not as bad as reading the MSDN but very close to it. :D
LOL
Zcoder....
Posted on 2006-04-04 18:45:37 by Zcoder
With the observation of PBrennick (add internal numbers) I see this one is posible taking some assumptions (like the one before???) ;).

76, 77, 78, 79, 20, 27, 11, 4, 6, 8, 12,...

There are other numbers, can you see with the observation how to get them??? and wich numbers are left?
Posted on 2006-04-05 00:29:44 by rea
What is missing is 80, 81, and so on. There are 4 "70s" (76, 77, 78, 79). So it's like "start from the next one and divide by the count of the previous ones, decreasing":

80 / 4 = 20
81 / 3 = 27
82 / 2 = 41
83 / 1 = 83

?
Posted on 2006-04-05 02:57:10 by ti_mo_n
These type of riddles are fun and, rea, you definitely took the ball and ran with it!  ;)

Paul
Posted on 2006-04-06 07:47:28 by PBrennick
This has me driven demeted :D . Milos, think there is any chance you've remebered it wrong, or can you go back to the source and find us an answer, you can't leave us hanging like this :lol: .
Posted on 2006-04-06 08:31:38 by Eóin
The most likely solution looks like to be 22 as suggested by rea  where  7 := 1. That was really cleaver :)

I found out about this from a magazine they distributet at the university, I guess in this months issue they will publish the solution.  I tried google and I found the question but no answer. I will post the solution as soon as (and if) I hear it.

Here is another one that I found while digging for the solution for 76, 77 ...

Complete this sequence: 23, 6, 14, 19, 3, 20, ???
Posted on 2006-04-07 05:40:51 by Milos
Wait for it... wait for it... now...

Posted on 2006-04-07 05:44:42 by SpooK
15, 0, 24 :P.
Posted on 2006-04-09 06:01:48 by rea
Rea, can you please explain? :)
Posted on 2006-04-15 05:03:02 by Milos
Is like 3 counts in 1, they arent really a secuence, but 3 merged in 1.

23, 19, 15,...
6, 3, 0, ...
14, 20, 24,...

hehe, I really dont know, I will like to know how how to get 42.

Also I can comment, this things are interesting, time a go a teacher in the subject of (somethings similar to) Administrative Process, she give to us a large test (not for a mark) that have secuences, questions and things like that... she say that when you enter at work for manager or similar, is a test that they do... anyway, when in groups we where solving/comparing I see diferences in how people solve things (but analysing the other solution, you get that it was also a correct solution but in other way /poin of view), for example like this time we have finded more than 1 solution, but I see that mainly one become in find secuences more internally or more externally... that is people find the relations between the elements or between the whole.

Like this time, I havent been able to find a relation between the internals (number for number), but in the whole I see that there is 3 secuences merged in one ;).

Posted on 2006-04-15 10:31:50 by rea
I think Spook was joking when he said 42.
Posted on 2006-04-15 14:59:45 by Eóin
Yes, I know. It's the answer to life, universe and everything. Haha.. it only makes sense if you read hitchhiker's guide to the galaxy or watch the movie (It's a damn funny book to read)  ;)
Posted on 2006-04-16 00:31:28 by roticv