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The Sequence ?

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  • N Nish Nishant

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


    Check out last week's Code Project posting stats presentation from :- http://www.busterboy.org/codeproject/ Feel free to make your comments.

    C Offline
    C Offline
    ColinDavies
    wrote on last edited by
    #3

    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

    More about me :-)

    N 2 Replies Last reply
    0
    • C 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

      More about me :-)

      N Offline
      N Offline
      Nish Nishant
      wrote on last edited by
      #4

      ****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


      Check out last week's Code Project posting stats presentation from :- http://www.busterboy.org/codeproject/ Feel free to make your comments.

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      • C 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

        More about me :-)

        N Offline
        N Offline
        Nish Nishant
        wrote on last edited by
        #5

        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


        Check out last week's Code Project posting stats presentation from :- http://www.busterboy.org/codeproject/ Feel free to make your comments.

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        • N 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


          Check out last week's Code Project posting stats presentation from :- http://www.busterboy.org/codeproject/ Feel free to make your comments.

          C Offline
          C Offline
          ColinDavies
          wrote on last edited by
          #6

          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

          Sonork ID 100.9197:Colin

          More about me :-)

          N 1 Reply Last reply
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          • C 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

            Sonork ID 100.9197:Colin

            More about me :-)

            N Offline
            N Offline
            Nish Nishant
            wrote on last edited by
            #7

            ****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


            Check out last week's Code Project posting stats presentation from :- http://www.busterboy.org/codeproject/ Feel free to make your comments.

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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


              :~ (-_-) :~

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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
                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

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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...


                    :~ (-_-) :~

                    1 Reply Last reply
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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 :-)

                          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
                            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
                            0
                            • 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
                              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 :-)

                                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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