The Sequence ?

[Nish Nishant]

****Colin Davies wrote: Note: Clues may be provided depending on interest. Clues please. Nish

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[ColinDavies]

That was quick ! Sum various segments of the sequence, eg 1 to 8 and 1 to 7 and 4 to 8 etc and play arround with the different sums or the differences maybe. Regardz Colin J Davies

Sonork ID 100.9197:Colin

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[Nish Nishant]

****Colin Davies wrote: Sum various segments of the sequence, eg 1 to 8 and 1 to 7 and 4 to 8 etc and play arround with the different sums or the differences maybe. :( I have wasted enough paper :( Nish

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[Nish Nishant]

Some intermediate results :- Original series 913 203 86 401 395 407 296 302 Sums of every two numbers in order 1116 289 487 796 802 703 598 Their differences 827 -198 -309 -6 99 105 Doesnt make any sense so far :-( Nish

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[ColinDavies]

You need to waste more paper ! Sum( n1,n2..n7) and Sum(n1,n2..n8) is what I was meaning for you to do. There are a myriad of ways to solve this, :-) Also try factorizing the numbers in the sequence. Regardz Colin J Davies

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[Nish Nishant]

****Colin Davies wrote: Sum( n1,n2..n7) and Sum(n1,n2..n8) is what I was meaning for you to do. Wow. Okay. I'll give that a try. Nish ****Colin Davies wrote: Also try factorizing the numbers in the sequence. !!!!! Nish

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[Brian Delahunty]

OK... after using all the anologue devices I could find [paper] I still have figured this out.. and my headache has gotten worse!!! damn you for tempting me like this!!! ;P

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:~ (-_-) :~

[Roger Allen]

****Colin Davies wrote: Who can tell us what this sequence is ? Its a sequence of numbers. ****Colin Davies wrote: Who can tell us what the sequence tells us ? The next numbr is different from the previous unless its not. ****Colin Davies wrote: Can anyone continue the sequence ? Yes, put another number in, but I cannot guarantee its the right one! OK OK, I may even try and solve it! Roger Allen Sonork 100.10016 If I had a quote, it would be a very good one.

[Jamie Hale]

Alright. I've been going at this for about an hour and a half. I've looked at sums and differences and factors and primes and I got nothing. How about another hint. Is it possible without giving it away? J "I am wise enough to therefore not spout my ill informed opinion as if it were remotely related to fact." - Christian Graus

[Brian Delahunty]

Brian Delahunty wrote: damn you for tempting me like this!!! OK... I've given up...

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:~ (-_-) :~

[ColinDavies]

Jamie Hale wrote: How about another hint. Is it possible without giving it away? Jamie there are several different ways to solve the sequence, and obtain its meaning. I'm unsure what hints to give away so as to not make the puzzle unchallenging. Some of the math levels needed are pre-decimal or Pythagorean. The sequence makes use of figurate numerical geometry and some bifigurate forms. Such as triangle ,hexagram, hexagon, octagon square numbers in 2D and some 3D numbers as well. The first seven numbers are the key to the eighth number and then you'll need to work out how to calculate the ninth number to continue the sequence. Then there are other totally different approaches for solving it, but if I mention them it may well cause confusion. :-) Note: Others have solved it, but it does take a while. Regardz Colin J Davies

Sonork ID 100.9197:Colin

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[Roger Allen]

I was reading the bible just the other day.... Roger Allen Sonork 100.10016 If I had a quote, it would be a very good one.

[ColinDavies]

Roger Allen wrote: I was reading the bible just the other day.... Many people find it brings them comfort Roger, Have you ever read ISO 216 it contains some interesting numbers and dimensions as well. :-) With a bit of A4 paper manipulation you can achieve dimensions corresponding to the sequence. :-) Regardz Colin J Davies

Sonork ID 100.9197:Colin

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[Rama Krishna Vavilala]

I seem to have got it in 10 mins. Whom do I tell the answer?

[ColinDavies]

Rama Krishna wrote: I seem to have got it in 10 mins. Whom do I tell the answer? Excellent work Rama, 10 minutes must be a record. :-) I admit it took me over a year the first time. Since then I have found various other ways of solving it all of which are unique. If you want you can email me your workings to examine, or feel free to publish them here, although that would mean others would miss the challenge. :-) Its not important how you solved it, but that you did. :-) Regardz Colin J Davies

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[jan larsen]

Ok, this one took about an hour!..., i am not that good at math. The sequence: 913, 203, 86, 401, 395, 407, 296, 302, ....

I changed the numbers to binary to look for a pattern, and
as I saw that the pattern seemed to favor a word I changed
the words back to decimal. (I also saw that the patterns
changed for every three number):
11100 10001 | 28 17 |
00110 01011 | 6 11 |
00010 10110 | 2 22 |
| |
01100 10001 | 12 17 |
01100 01011 | 12 11 |
01100 10111 | 12 23 |
| |
01001 01000 | 9 8 |
01001 01110 | 9 14 |

Recently I have done some matrix math, so i tried some
operations horizontal and vertical on a pseudo 3x2 matrix,
and after some time i discovered that when you add the
values horizontal and vertical, then the sums of the numbers
in the resulting row and column matrix's should be equal.

28 + 17 | = 45
6 + 11 | = 17
2 + 22 | = 24

36 + 50 | = 86

12 + 17 | = 29
12 + 11 | = 23
12 + 23 | = 35

36 + 51 | = 87

I could see that the first column sum was probably 36
always, and the second column sum was growing linear.
It also looked like the overall result was linear, so
I just had to find the numbers that fitted:
9 + 8 | = 17
9 + 14 | = 23

18 + 30 | = 48 <-- My numbers...

36 + 52 | = 88

Then i translated the two sums from the columns
to binary:
10010 11110

And translated the binary value to decimal:
606

Tadaa!...

"It could have been worse, it could have been ME!"

[ColinDavies]

jan larsen wrote: Ok, this one took about an hour!..., i am not that good at math. Yeah but it was fun wasn't it. :-) Actually I think there is a better pattern apparent in "trinary" or Base 3 I have never really tried using Matrix Math in that fashion. I guess in graphics it could be useful eh, Jan. I have given out a few clues in the forums and so far 3 people seem to have solved it. I can't think of any more easy clues I can give :-( Regardz Colin J Davies

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