Cyrus' Adventure (Part 1)












2












$begingroup$


Cyrus is on an adventure to the deep unknown forest, in order to get the mysterious treasure box. After walking for a few days, he found out that a strange door was blocking his way, and there weren't any paths that Cyrus could take. Without choice, he could only try to open the door. There were some numbers on the door and strangely, there was a touch-sensing screen near the side of the door. It showed the alphabet, from A-Z. There were also 4 lines on top of the alphabet buttons. Cyrus pressed a random letter, and it appeared on the first line. He quickly found out that it was a password lock. He cleared the letters and started to look at the four numbers. They are 2, 5, 13 and 34. The question comes. What are the 4 letters? What is the password? Can you help Cyrus solve the problem?




p.s. you can go ask your math teacher for hints











share|improve this question









New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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  • 1




    $begingroup$
    There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
    $endgroup$
    – Jonathan Allan
    10 hours ago












  • $begingroup$
    @JonathanAllan sorry corrected typo
    $endgroup$
    – K Sharing
    3 mins ago
















2












$begingroup$


Cyrus is on an adventure to the deep unknown forest, in order to get the mysterious treasure box. After walking for a few days, he found out that a strange door was blocking his way, and there weren't any paths that Cyrus could take. Without choice, he could only try to open the door. There were some numbers on the door and strangely, there was a touch-sensing screen near the side of the door. It showed the alphabet, from A-Z. There were also 4 lines on top of the alphabet buttons. Cyrus pressed a random letter, and it appeared on the first line. He quickly found out that it was a password lock. He cleared the letters and started to look at the four numbers. They are 2, 5, 13 and 34. The question comes. What are the 4 letters? What is the password? Can you help Cyrus solve the problem?




p.s. you can go ask your math teacher for hints











share|improve this question









New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$








  • 1




    $begingroup$
    There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
    $endgroup$
    – Jonathan Allan
    10 hours ago












  • $begingroup$
    @JonathanAllan sorry corrected typo
    $endgroup$
    – K Sharing
    3 mins ago














2












2








2





$begingroup$


Cyrus is on an adventure to the deep unknown forest, in order to get the mysterious treasure box. After walking for a few days, he found out that a strange door was blocking his way, and there weren't any paths that Cyrus could take. Without choice, he could only try to open the door. There were some numbers on the door and strangely, there was a touch-sensing screen near the side of the door. It showed the alphabet, from A-Z. There were also 4 lines on top of the alphabet buttons. Cyrus pressed a random letter, and it appeared on the first line. He quickly found out that it was a password lock. He cleared the letters and started to look at the four numbers. They are 2, 5, 13 and 34. The question comes. What are the 4 letters? What is the password? Can you help Cyrus solve the problem?




p.s. you can go ask your math teacher for hints











share|improve this question









New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Cyrus is on an adventure to the deep unknown forest, in order to get the mysterious treasure box. After walking for a few days, he found out that a strange door was blocking his way, and there weren't any paths that Cyrus could take. Without choice, he could only try to open the door. There were some numbers on the door and strangely, there was a touch-sensing screen near the side of the door. It showed the alphabet, from A-Z. There were also 4 lines on top of the alphabet buttons. Cyrus pressed a random letter, and it appeared on the first line. He quickly found out that it was a password lock. He cleared the letters and started to look at the four numbers. They are 2, 5, 13 and 34. The question comes. What are the 4 letters? What is the password? Can you help Cyrus solve the problem?




p.s. you can go ask your math teacher for hints








number-sequence






share|improve this question









New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 4 mins ago







K Sharing













New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 11 hours ago









K SharingK Sharing

318




318




New contributor




K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






K Sharing is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.








  • 1




    $begingroup$
    There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
    $endgroup$
    – Jonathan Allan
    10 hours ago












  • $begingroup$
    @JonathanAllan sorry corrected typo
    $endgroup$
    – K Sharing
    3 mins ago














  • 1




    $begingroup$
    There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
    $endgroup$
    – Jonathan Allan
    10 hours ago












  • $begingroup$
    @JonathanAllan sorry corrected typo
    $endgroup$
    – K Sharing
    3 mins ago








1




1




$begingroup$
There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
$endgroup$
– Jonathan Allan
10 hours ago






$begingroup$
There are 5 lines but we know we only need 4 letters? Is that a mistake? Should it say "What are the four numbers?" perhaps?
$endgroup$
– Jonathan Allan
10 hours ago














$begingroup$
@JonathanAllan sorry corrected typo
$endgroup$
– K Sharing
3 mins ago




$begingroup$
@JonathanAllan sorry corrected typo
$endgroup$
– K Sharing
3 mins ago










2 Answers
2






active

oldest

votes


















1












$begingroup$

It's apparent that the numbers




are alternate Fibonacci numbers: 0 1 1 2 3 5 8 13 21 34 etc.




I would try




considering the following correspondence: 1/F 1/I 2/B 3/O 5/N 8/A 13/C 21/C 34/I and entering BNCI if we need four letters, and maybe the complement FIOAC if we need five (one per line).




I have to confess that the problem seems somewhat underdetermined: on the face of it (though I may be missing something) there are several different ways to get from the information we have to a sequence of letters.






share|improve this answer









$endgroup$













  • $begingroup$
    +1 for the comment about having multiple ways to get the letters.
    $endgroup$
    – ZanyG
    3 hours ago










  • $begingroup$
    You are correct for BNCI!
    $endgroup$
    – K Sharing
    4 mins ago



















2












$begingroup$

If I were Cyrus I'd give these four a go:




A C H U


...because $2$, $5$, $13$, and $34$ are all Fibonacci numbers

($f(n)=f(n-2)+f(n-1)$ with $f(0)=1$ and $f(1)=1$)

i.e.: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55, cdots$

and treating A,B,C,... as $1,2,3,...$ these are what appear to be the missing numbers as letters.




if we need 5 letters (as there are 5 lines) try




A A C H U







"Gesundheit!"







share|improve this answer









$endgroup$













    Your Answer





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    2 Answers
    2






    active

    oldest

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    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    It's apparent that the numbers




    are alternate Fibonacci numbers: 0 1 1 2 3 5 8 13 21 34 etc.




    I would try




    considering the following correspondence: 1/F 1/I 2/B 3/O 5/N 8/A 13/C 21/C 34/I and entering BNCI if we need four letters, and maybe the complement FIOAC if we need five (one per line).




    I have to confess that the problem seems somewhat underdetermined: on the face of it (though I may be missing something) there are several different ways to get from the information we have to a sequence of letters.






    share|improve this answer









    $endgroup$













    • $begingroup$
      +1 for the comment about having multiple ways to get the letters.
      $endgroup$
      – ZanyG
      3 hours ago










    • $begingroup$
      You are correct for BNCI!
      $endgroup$
      – K Sharing
      4 mins ago
















    1












    $begingroup$

    It's apparent that the numbers




    are alternate Fibonacci numbers: 0 1 1 2 3 5 8 13 21 34 etc.




    I would try




    considering the following correspondence: 1/F 1/I 2/B 3/O 5/N 8/A 13/C 21/C 34/I and entering BNCI if we need four letters, and maybe the complement FIOAC if we need five (one per line).




    I have to confess that the problem seems somewhat underdetermined: on the face of it (though I may be missing something) there are several different ways to get from the information we have to a sequence of letters.






    share|improve this answer









    $endgroup$













    • $begingroup$
      +1 for the comment about having multiple ways to get the letters.
      $endgroup$
      – ZanyG
      3 hours ago










    • $begingroup$
      You are correct for BNCI!
      $endgroup$
      – K Sharing
      4 mins ago














    1












    1








    1





    $begingroup$

    It's apparent that the numbers




    are alternate Fibonacci numbers: 0 1 1 2 3 5 8 13 21 34 etc.




    I would try




    considering the following correspondence: 1/F 1/I 2/B 3/O 5/N 8/A 13/C 21/C 34/I and entering BNCI if we need four letters, and maybe the complement FIOAC if we need five (one per line).




    I have to confess that the problem seems somewhat underdetermined: on the face of it (though I may be missing something) there are several different ways to get from the information we have to a sequence of letters.






    share|improve this answer









    $endgroup$



    It's apparent that the numbers




    are alternate Fibonacci numbers: 0 1 1 2 3 5 8 13 21 34 etc.




    I would try




    considering the following correspondence: 1/F 1/I 2/B 3/O 5/N 8/A 13/C 21/C 34/I and entering BNCI if we need four letters, and maybe the complement FIOAC if we need five (one per line).




    I have to confess that the problem seems somewhat underdetermined: on the face of it (though I may be missing something) there are several different ways to get from the information we have to a sequence of letters.







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered 7 hours ago









    Gareth McCaughanGareth McCaughan

    61.2k3152236




    61.2k3152236












    • $begingroup$
      +1 for the comment about having multiple ways to get the letters.
      $endgroup$
      – ZanyG
      3 hours ago










    • $begingroup$
      You are correct for BNCI!
      $endgroup$
      – K Sharing
      4 mins ago


















    • $begingroup$
      +1 for the comment about having multiple ways to get the letters.
      $endgroup$
      – ZanyG
      3 hours ago










    • $begingroup$
      You are correct for BNCI!
      $endgroup$
      – K Sharing
      4 mins ago
















    $begingroup$
    +1 for the comment about having multiple ways to get the letters.
    $endgroup$
    – ZanyG
    3 hours ago




    $begingroup$
    +1 for the comment about having multiple ways to get the letters.
    $endgroup$
    – ZanyG
    3 hours ago












    $begingroup$
    You are correct for BNCI!
    $endgroup$
    – K Sharing
    4 mins ago




    $begingroup$
    You are correct for BNCI!
    $endgroup$
    – K Sharing
    4 mins ago











    2












    $begingroup$

    If I were Cyrus I'd give these four a go:




    A C H U


    ...because $2$, $5$, $13$, and $34$ are all Fibonacci numbers

    ($f(n)=f(n-2)+f(n-1)$ with $f(0)=1$ and $f(1)=1$)

    i.e.: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55, cdots$

    and treating A,B,C,... as $1,2,3,...$ these are what appear to be the missing numbers as letters.




    if we need 5 letters (as there are 5 lines) try




    A A C H U







    "Gesundheit!"







    share|improve this answer









    $endgroup$


















      2












      $begingroup$

      If I were Cyrus I'd give these four a go:




      A C H U


      ...because $2$, $5$, $13$, and $34$ are all Fibonacci numbers

      ($f(n)=f(n-2)+f(n-1)$ with $f(0)=1$ and $f(1)=1$)

      i.e.: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55, cdots$

      and treating A,B,C,... as $1,2,3,...$ these are what appear to be the missing numbers as letters.




      if we need 5 letters (as there are 5 lines) try




      A A C H U







      "Gesundheit!"







      share|improve this answer









      $endgroup$
















        2












        2








        2





        $begingroup$

        If I were Cyrus I'd give these four a go:




        A C H U


        ...because $2$, $5$, $13$, and $34$ are all Fibonacci numbers

        ($f(n)=f(n-2)+f(n-1)$ with $f(0)=1$ and $f(1)=1$)

        i.e.: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55, cdots$

        and treating A,B,C,... as $1,2,3,...$ these are what appear to be the missing numbers as letters.




        if we need 5 letters (as there are 5 lines) try




        A A C H U







        "Gesundheit!"







        share|improve this answer









        $endgroup$



        If I were Cyrus I'd give these four a go:




        A C H U


        ...because $2$, $5$, $13$, and $34$ are all Fibonacci numbers

        ($f(n)=f(n-2)+f(n-1)$ with $f(0)=1$ and $f(1)=1$)

        i.e.: $1, 1, 2, 3, 5, 8, 13, 21, 34, 55, cdots$

        and treating A,B,C,... as $1,2,3,...$ these are what appear to be the missing numbers as letters.




        if we need 5 letters (as there are 5 lines) try




        A A C H U







        "Gesundheit!"








        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 10 hours ago









        Jonathan AllanJonathan Allan

        17.7k14697




        17.7k14697






















            K Sharing is a new contributor. Be nice, and check out our Code of Conduct.










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