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  4. The Sequence ?

The Sequence ?

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  • C ColinDavies

    Who can tell us what this sequence is ? Who can tell us what the sequence tells us ? Can anyone continue the sequence ?

    913, 203, 86, 401, 395, 407, 296, 302, ....

    Note: Clues may be provided depending on interest. :-O Warning Expect difficulty. Regardz Colin J Davies

    Sonork ID 100.9197:Colin

    More about me :-)

    B Offline
    B Offline
    Brian Delahunty
    wrote on last edited by
    #8

    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


    :~ (-_-) :~

    B 1 Reply Last reply
    0
    • C ColinDavies

      Who can tell us what this sequence is ? Who can tell us what the sequence tells us ? Can anyone continue the sequence ?

      913, 203, 86, 401, 395, 407, 296, 302, ....

      Note: Clues may be provided depending on interest. :-O Warning Expect difficulty. Regardz Colin J Davies

      Sonork ID 100.9197:Colin

      More about me :-)

      R Offline
      R Offline
      Roger Allen
      wrote on last edited by
      #9

      ****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.

      1 Reply Last reply
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      • C ColinDavies

        Who can tell us what this sequence is ? Who can tell us what the sequence tells us ? Can anyone continue the sequence ?

        913, 203, 86, 401, 395, 407, 296, 302, ....

        Note: Clues may be provided depending on interest. :-O Warning Expect difficulty. Regardz Colin J Davies

        Sonork ID 100.9197:Colin

        More about me :-)

        J Offline
        J Offline
        Jamie Hale
        wrote on last edited by
        #10

        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

        C 1 Reply Last reply
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        • B 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


          :~ (-_-) :~

          B Offline
          B Offline
          Brian Delahunty
          wrote on last edited by
          #11

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


          :~ (-_-) :~

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          • J 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

            C Offline
            C Offline
            ColinDavies
            wrote on last edited by
            #12

            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

            More about me :-)

            R 1 Reply Last reply
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            • C 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

              More about me :-)

              R Offline
              R Offline
              Roger Allen
              wrote on last edited by
              #13

              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.

              C 1 Reply Last reply
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              • R 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.

                C Offline
                C Offline
                ColinDavies
                wrote on last edited by
                #14

                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

                More about me :-)

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                • C ColinDavies

                  Who can tell us what this sequence is ? Who can tell us what the sequence tells us ? Can anyone continue the sequence ?

                  913, 203, 86, 401, 395, 407, 296, 302, ....

                  Note: Clues may be provided depending on interest. :-O Warning Expect difficulty. Regardz Colin J Davies

                  Sonork ID 100.9197:Colin

                  More about me :-)

                  R Offline
                  R Offline
                  Rama Krishna Vavilala
                  wrote on last edited by
                  #15

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

                  C 1 Reply Last reply
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                  • R Rama Krishna Vavilala

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

                    C Offline
                    C Offline
                    ColinDavies
                    wrote on last edited by
                    #16

                    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

                    Sonork ID 100.9197:Colin

                    More about me :-)

                    1 Reply Last reply
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                    • C ColinDavies

                      Who can tell us what this sequence is ? Who can tell us what the sequence tells us ? Can anyone continue the sequence ?

                      913, 203, 86, 401, 395, 407, 296, 302, ....

                      Note: Clues may be provided depending on interest. :-O Warning Expect difficulty. Regardz Colin J Davies

                      Sonork ID 100.9197:Colin

                      More about me :-)

                      J Offline
                      J Offline
                      jan larsen
                      wrote on last edited by
                      #17

                      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!"

                      C 1 Reply Last reply
                      0
                      • J 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!"

                        C Offline
                        C Offline
                        ColinDavies
                        wrote on last edited by
                        #18

                        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

                        Sonork ID 100.9197:Colin

                        More about me :-)

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