Patterns (For the math geeks)

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  • archbishopjabber
    FFR Player
    • Dec 2005
    • 268

    #1

    Patterns (For the math geeks)

    The rules are simple. Post several numbers of a pattern you developed. The next member in line writes a formula that will result in the pattern, using x as the place in line of the number. For example, if the pattern was 2,4,6,8... the formula would be 2x. Always start the pattern off where x=1. Do not make them to overly complicated... at least in the beginning anyway. In order to post a pattern you must solve the last persons pattern correctly. Make sure your formula fits for all numbers they posted.

    The first sequence:

    1, 3, 6, 10, 15, 21, 28, 36, 45, 55...
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  • Doug31
    Falcon Paaaauuuunch!!!!!!
    FFR Simfile Author
    • Jun 2004
    • 6811

    #2
    Re: Patterns (For the math geeks)

    Triangular numbers, as in 1+2+3+...+n for the nth term.

    Next sequence is
    1, 2, 4, 8, 16, 32, 64, 128 (yea, really easy)

    Comment

    • brothaice
      FFR Simfile Author
      FFR Simfile Author
      • Dec 2005
      • 2940

      #3
      Re: Patterns (For the math geeks)

      y=2n


      1, 3, 5, 7, 11, 13, 17, 19, 23...

      I think all those are right.

      Comment

      • Doug31
        Falcon Paaaauuuunch!!!!!!
        FFR Simfile Author
        • Jun 2004
        • 6811

        #4
        Re: Patterns (For the math geeks)

        Are those supposed to be primes? If so, 2 should be on the list, and not 1.

        Edit: and mine was NOT 2n, it was 2^n.
        Last edited by Doug31; 05-1-2007, 05:53 PM.

        Comment

        • Fantasticone
          D7 Elite Keymasher
          • Aug 2006
          • 6003

          #5
          Re: Patterns (For the math geeks)

          +2

          .3333, .1111, .0370, .0123, .0041

          Comment

          • ledwix
            Giant Pi Operator
            FFR Simfile Author
            • Mar 2006
            • 2878

            #6
            Re: Patterns (For the math geeks)

            ^^^^^^^^^^
            a(n) = (1)/(3^n)

            new: 1, 4, 27, 256, 3125, 46656, 823543

            Comment

            • Doug31
              Falcon Paaaauuuunch!!!!!!
              FFR Simfile Author
              • Jun 2004
              • 6811

              #7
              Re: Patterns (For the math geeks)

              x^x

              Next one is:
              1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

              Comment

              • Fantasticone
                D7 Elite Keymasher
                • Aug 2006
                • 6003

                #8
                Re: Patterns (For the math geeks)

                Add all previous numbers.

                5000, 3125, 685.871, 76.293, 5.12
                Last edited by Fantasticone; 05-1-2007, 05:55 PM.

                Comment

                • Doug31
                  Falcon Paaaauuuunch!!!!!!
                  FFR Simfile Author
                  • Jun 2004
                  • 6811

                  #9
                  Re: Patterns (For the math geeks)

                  It's not add ALL previous numbers, it's just adding the most recent 2.

                  Comment

                  • Fantasticone
                    D7 Elite Keymasher
                    • Aug 2006
                    • 6003

                    #10
                    Re: Patterns (For the math geeks)

                    Originally posted by Fantasticone
                    Add all previous numbers.

                    5000, 3125, 685.871, 76.293, 5.12
                    Cough cough.

                    Comment

                    • brothaice
                      FFR Simfile Author
                      FFR Simfile Author
                      • Dec 2005
                      • 2940

                      #11
                      Re: Patterns (For the math geeks)

                      Originally posted by Doug31
                      Triangular numbers, as in 1+2+3+...+n for the nth term.

                      Next sequence is
                      1, 2, 4, 8, 16, 32, 64, 128 (yea, really easy)
                      1 x 2 = 2

                      2 x 2 = 4

                      4 x 2 = 8

                      8 x 2 = 16

                      16 x 2 = 32

                      32 x 2 = 64

                      64 x 2 = 128

                      Let n represent the previous number in the sequence.

                      f(n)=2n

                      Doug or someone else please tell me how that is wrong.
                      Dont mean to bitch i just wanna know XD
                      Last edited by brothaice; 05-1-2007, 06:26 PM.

                      Comment

                      • EI_Tizzy
                        FFR Player
                        FFR Simfile Author
                        • Aug 2006
                        • 942

                        #12
                        Re: Patterns (For the math geeks)

                        You are partly correct.

                        The equation for the NEXT term in this series is 2n, but the series as a whole is defined by 2^n.

                        Also, I have no clue on Fantasticone's one. My guess is that there is none XD
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                        Comment

                        • Fantasticone
                          D7 Elite Keymasher
                          • Aug 2006
                          • 6003

                          #13
                          Re: Patterns (For the math geeks)

                          500{1/(.n/n)}^n

                          Comment

                          • brothaice
                            FFR Simfile Author
                            FFR Simfile Author
                            • Dec 2005
                            • 2940

                            #14
                            Re: Patterns (For the math geeks)

                            Originally posted by EI_Tizzy
                            You are partly correct.

                            The equation for the NEXT term in this series is 2n, but the series as a whole is defined by 2^n.

                            Also, I have no clue on Fantasticone's one. My guess is that there is none XD
                            Oh, i thought thats what we were finding, lol

                            Comment

                            • Doug31
                              Falcon Paaaauuuunch!!!!!!
                              FFR Simfile Author
                              • Jun 2004
                              • 6811

                              #15
                              Re: Patterns (For the math geeks)

                              Originally posted by Fantasticone
                              500{1/(.n/n)}^n
                              That was too hard.

                              Comment

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