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Spiral Stumper Series: Instructionless Puzzle



Find the number for the question mark


IQ-test-type question with not satisfying answerWhich number should replace the question mark?Find the missing piece to complete the patternCan you find the value of the question mark$colorred?$Reasoning - Find Missing NumberWhich two numbers replaces the question mark?Can you find the next number in the following series?What is the missing number in the question mark?What is the missing number, can anyone solve this? My original puzzleWhat is the pattern in the question box?






.everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty
margin-bottom:0;

.everyonelovesstackoverflowposition:absolute;height:1px;width:1px;opacity:0;top:0;left:0;pointer-events:none;








2












$begingroup$


What is the number for the question mark? (My original puzzle)



3=39



1=3



4=84



5=155



2=14



10=?










share|improve this question









$endgroup$




















    2












    $begingroup$


    What is the number for the question mark? (My original puzzle)



    3=39



    1=3



    4=84



    5=155



    2=14



    10=?










    share|improve this question









    $endgroup$
















      2












      2








      2





      $begingroup$


      What is the number for the question mark? (My original puzzle)



      3=39



      1=3



      4=84



      5=155



      2=14



      10=?










      share|improve this question









      $endgroup$




      What is the number for the question mark? (My original puzzle)



      3=39



      1=3



      4=84



      5=155



      2=14



      10=?







      pattern






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 8 hours ago









      Deepthinker101Deepthinker101

      19610 bronze badges




      19610 bronze badges























          2 Answers
          2






          active

          oldest

          votes


















          2














          $begingroup$


          By noting that each number maps to a multiple of itself:
          $3rightarrow3*13$
          $1rightarrow1*3$
          $4rightarrow4*21$
          $5rightarrow5*31$
          $2rightarrow2*7$

          And that the quotient increases quadratically
          $1:3$
          $2:7=3+4$
          $3:13=7+6$
          $4:21=13+8$
          $5:31=21+10$

          The mapping must be a cubic function.

          The above sequence is equal to $n^2+n+1$, where n is the input.

          The original sequence is multiplied by $n$ again.
          So the function can be described by $n^3+n^2+n$.

          So the final answer is $10^3+10^2+10=1110$.







          share|improve this answer








          New contributor



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





          $endgroup$














          • $begingroup$
            It looks like this is it!
            $endgroup$
            – Duck
            1 hour ago










          • $begingroup$
            Congratulations
            $endgroup$
            – Deepthinker101
            14 mins ago










          • $begingroup$
            This was the mathematical way to do what I described in words. Congratulations!
            $endgroup$
            – El-Guest
            7 mins ago


















          4














          $begingroup$

          Note that




          1 x 3 = 3 (3 is the 2nd odd positive number)

          2 x 7 = 14 (7 is the 4th positive odd number)

          3 x 13 = 39 (13 is the 7th positive odd number)

          4 x 21 = 84 (21 is the 11th positive odd number)

          5 x 31 = 155 (31 is the 16th positive odd number)




          Note that




          The nth odd number is being used, where n forms a pattern of 2, 4, 7, 11, 16 — ie. differences increase by one. Then to continue this pattern, we have 22, 29, 37, 46, 56 — this sequence is the triangular numbers plus 1. (Note the triangular Numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55...)




          So then the answer ought to be




          10 = 1110, as 111 is the 56th positive odd number and 10 x 111 = 1110.







          share|improve this answer











          $endgroup$














          • $begingroup$
            You are probably on the right track, but maybe insisting on primes isn't necessary?
            $endgroup$
            – Bass
            5 hours ago










          • $begingroup$
            Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
            $endgroup$
            – El-Guest
            4 hours ago










          • $begingroup$
            No not the right answer
            $endgroup$
            – Deepthinker101
            2 hours ago










          • $begingroup$
            As it turns out, my process IS right, I’m just a dumdum.
            $endgroup$
            – El-Guest
            8 mins ago












          Your Answer








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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          2














          $begingroup$


          By noting that each number maps to a multiple of itself:
          $3rightarrow3*13$
          $1rightarrow1*3$
          $4rightarrow4*21$
          $5rightarrow5*31$
          $2rightarrow2*7$

          And that the quotient increases quadratically
          $1:3$
          $2:7=3+4$
          $3:13=7+6$
          $4:21=13+8$
          $5:31=21+10$

          The mapping must be a cubic function.

          The above sequence is equal to $n^2+n+1$, where n is the input.

          The original sequence is multiplied by $n$ again.
          So the function can be described by $n^3+n^2+n$.

          So the final answer is $10^3+10^2+10=1110$.







          share|improve this answer








          New contributor



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





          $endgroup$














          • $begingroup$
            It looks like this is it!
            $endgroup$
            – Duck
            1 hour ago










          • $begingroup$
            Congratulations
            $endgroup$
            – Deepthinker101
            14 mins ago










          • $begingroup$
            This was the mathematical way to do what I described in words. Congratulations!
            $endgroup$
            – El-Guest
            7 mins ago















          2














          $begingroup$


          By noting that each number maps to a multiple of itself:
          $3rightarrow3*13$
          $1rightarrow1*3$
          $4rightarrow4*21$
          $5rightarrow5*31$
          $2rightarrow2*7$

          And that the quotient increases quadratically
          $1:3$
          $2:7=3+4$
          $3:13=7+6$
          $4:21=13+8$
          $5:31=21+10$

          The mapping must be a cubic function.

          The above sequence is equal to $n^2+n+1$, where n is the input.

          The original sequence is multiplied by $n$ again.
          So the function can be described by $n^3+n^2+n$.

          So the final answer is $10^3+10^2+10=1110$.







          share|improve this answer








          New contributor



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





          $endgroup$














          • $begingroup$
            It looks like this is it!
            $endgroup$
            – Duck
            1 hour ago










          • $begingroup$
            Congratulations
            $endgroup$
            – Deepthinker101
            14 mins ago










          • $begingroup$
            This was the mathematical way to do what I described in words. Congratulations!
            $endgroup$
            – El-Guest
            7 mins ago













          2














          2










          2







          $begingroup$


          By noting that each number maps to a multiple of itself:
          $3rightarrow3*13$
          $1rightarrow1*3$
          $4rightarrow4*21$
          $5rightarrow5*31$
          $2rightarrow2*7$

          And that the quotient increases quadratically
          $1:3$
          $2:7=3+4$
          $3:13=7+6$
          $4:21=13+8$
          $5:31=21+10$

          The mapping must be a cubic function.

          The above sequence is equal to $n^2+n+1$, where n is the input.

          The original sequence is multiplied by $n$ again.
          So the function can be described by $n^3+n^2+n$.

          So the final answer is $10^3+10^2+10=1110$.







          share|improve this answer








          New contributor



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





          $endgroup$




          By noting that each number maps to a multiple of itself:
          $3rightarrow3*13$
          $1rightarrow1*3$
          $4rightarrow4*21$
          $5rightarrow5*31$
          $2rightarrow2*7$

          And that the quotient increases quadratically
          $1:3$
          $2:7=3+4$
          $3:13=7+6$
          $4:21=13+8$
          $5:31=21+10$

          The mapping must be a cubic function.

          The above sequence is equal to $n^2+n+1$, where n is the input.

          The original sequence is multiplied by $n$ again.
          So the function can be described by $n^3+n^2+n$.

          So the final answer is $10^3+10^2+10=1110$.








          share|improve this answer








          New contributor



          Matthew Jensen 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 answer



          share|improve this answer






          New contributor



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








          answered 1 hour ago









          Matthew JensenMatthew Jensen

          3114 bronze badges




          3114 bronze badges




          New contributor



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




          New contributor




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
















          • $begingroup$
            It looks like this is it!
            $endgroup$
            – Duck
            1 hour ago










          • $begingroup$
            Congratulations
            $endgroup$
            – Deepthinker101
            14 mins ago










          • $begingroup$
            This was the mathematical way to do what I described in words. Congratulations!
            $endgroup$
            – El-Guest
            7 mins ago
















          • $begingroup$
            It looks like this is it!
            $endgroup$
            – Duck
            1 hour ago










          • $begingroup$
            Congratulations
            $endgroup$
            – Deepthinker101
            14 mins ago










          • $begingroup$
            This was the mathematical way to do what I described in words. Congratulations!
            $endgroup$
            – El-Guest
            7 mins ago















          $begingroup$
          It looks like this is it!
          $endgroup$
          – Duck
          1 hour ago




          $begingroup$
          It looks like this is it!
          $endgroup$
          – Duck
          1 hour ago












          $begingroup$
          Congratulations
          $endgroup$
          – Deepthinker101
          14 mins ago




          $begingroup$
          Congratulations
          $endgroup$
          – Deepthinker101
          14 mins ago












          $begingroup$
          This was the mathematical way to do what I described in words. Congratulations!
          $endgroup$
          – El-Guest
          7 mins ago




          $begingroup$
          This was the mathematical way to do what I described in words. Congratulations!
          $endgroup$
          – El-Guest
          7 mins ago













          4














          $begingroup$

          Note that




          1 x 3 = 3 (3 is the 2nd odd positive number)

          2 x 7 = 14 (7 is the 4th positive odd number)

          3 x 13 = 39 (13 is the 7th positive odd number)

          4 x 21 = 84 (21 is the 11th positive odd number)

          5 x 31 = 155 (31 is the 16th positive odd number)




          Note that




          The nth odd number is being used, where n forms a pattern of 2, 4, 7, 11, 16 — ie. differences increase by one. Then to continue this pattern, we have 22, 29, 37, 46, 56 — this sequence is the triangular numbers plus 1. (Note the triangular Numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55...)




          So then the answer ought to be




          10 = 1110, as 111 is the 56th positive odd number and 10 x 111 = 1110.







          share|improve this answer











          $endgroup$














          • $begingroup$
            You are probably on the right track, but maybe insisting on primes isn't necessary?
            $endgroup$
            – Bass
            5 hours ago










          • $begingroup$
            Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
            $endgroup$
            – El-Guest
            4 hours ago










          • $begingroup$
            No not the right answer
            $endgroup$
            – Deepthinker101
            2 hours ago










          • $begingroup$
            As it turns out, my process IS right, I’m just a dumdum.
            $endgroup$
            – El-Guest
            8 mins ago















          4














          $begingroup$

          Note that




          1 x 3 = 3 (3 is the 2nd odd positive number)

          2 x 7 = 14 (7 is the 4th positive odd number)

          3 x 13 = 39 (13 is the 7th positive odd number)

          4 x 21 = 84 (21 is the 11th positive odd number)

          5 x 31 = 155 (31 is the 16th positive odd number)




          Note that




          The nth odd number is being used, where n forms a pattern of 2, 4, 7, 11, 16 — ie. differences increase by one. Then to continue this pattern, we have 22, 29, 37, 46, 56 — this sequence is the triangular numbers plus 1. (Note the triangular Numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55...)




          So then the answer ought to be




          10 = 1110, as 111 is the 56th positive odd number and 10 x 111 = 1110.







          share|improve this answer











          $endgroup$














          • $begingroup$
            You are probably on the right track, but maybe insisting on primes isn't necessary?
            $endgroup$
            – Bass
            5 hours ago










          • $begingroup$
            Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
            $endgroup$
            – El-Guest
            4 hours ago










          • $begingroup$
            No not the right answer
            $endgroup$
            – Deepthinker101
            2 hours ago










          • $begingroup$
            As it turns out, my process IS right, I’m just a dumdum.
            $endgroup$
            – El-Guest
            8 mins ago













          4














          4










          4







          $begingroup$

          Note that




          1 x 3 = 3 (3 is the 2nd odd positive number)

          2 x 7 = 14 (7 is the 4th positive odd number)

          3 x 13 = 39 (13 is the 7th positive odd number)

          4 x 21 = 84 (21 is the 11th positive odd number)

          5 x 31 = 155 (31 is the 16th positive odd number)




          Note that




          The nth odd number is being used, where n forms a pattern of 2, 4, 7, 11, 16 — ie. differences increase by one. Then to continue this pattern, we have 22, 29, 37, 46, 56 — this sequence is the triangular numbers plus 1. (Note the triangular Numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55...)




          So then the answer ought to be




          10 = 1110, as 111 is the 56th positive odd number and 10 x 111 = 1110.







          share|improve this answer











          $endgroup$



          Note that




          1 x 3 = 3 (3 is the 2nd odd positive number)

          2 x 7 = 14 (7 is the 4th positive odd number)

          3 x 13 = 39 (13 is the 7th positive odd number)

          4 x 21 = 84 (21 is the 11th positive odd number)

          5 x 31 = 155 (31 is the 16th positive odd number)




          Note that




          The nth odd number is being used, where n forms a pattern of 2, 4, 7, 11, 16 — ie. differences increase by one. Then to continue this pattern, we have 22, 29, 37, 46, 56 — this sequence is the triangular numbers plus 1. (Note the triangular Numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55...)




          So then the answer ought to be




          10 = 1110, as 111 is the 56th positive odd number and 10 x 111 = 1110.








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 8 mins ago

























          answered 8 hours ago









          El-GuestEl-Guest

          26.4k3 gold badges63 silver badges108 bronze badges




          26.4k3 gold badges63 silver badges108 bronze badges














          • $begingroup$
            You are probably on the right track, but maybe insisting on primes isn't necessary?
            $endgroup$
            – Bass
            5 hours ago










          • $begingroup$
            Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
            $endgroup$
            – El-Guest
            4 hours ago










          • $begingroup$
            No not the right answer
            $endgroup$
            – Deepthinker101
            2 hours ago










          • $begingroup$
            As it turns out, my process IS right, I’m just a dumdum.
            $endgroup$
            – El-Guest
            8 mins ago
















          • $begingroup$
            You are probably on the right track, but maybe insisting on primes isn't necessary?
            $endgroup$
            – Bass
            5 hours ago










          • $begingroup$
            Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
            $endgroup$
            – El-Guest
            4 hours ago










          • $begingroup$
            No not the right answer
            $endgroup$
            – Deepthinker101
            2 hours ago










          • $begingroup$
            As it turns out, my process IS right, I’m just a dumdum.
            $endgroup$
            – El-Guest
            8 mins ago















          $begingroup$
          You are probably on the right track, but maybe insisting on primes isn't necessary?
          $endgroup$
          – Bass
          5 hours ago




          $begingroup$
          You are probably on the right track, but maybe insisting on primes isn't necessary?
          $endgroup$
          – Bass
          5 hours ago












          $begingroup$
          Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
          $endgroup$
          – El-Guest
          4 hours ago




          $begingroup$
          Yes, it looks like you’re right — this fits better I think. Thanks for the heads up, @Bass
          $endgroup$
          – El-Guest
          4 hours ago












          $begingroup$
          No not the right answer
          $endgroup$
          – Deepthinker101
          2 hours ago




          $begingroup$
          No not the right answer
          $endgroup$
          – Deepthinker101
          2 hours ago












          $begingroup$
          As it turns out, my process IS right, I’m just a dumdum.
          $endgroup$
          – El-Guest
          8 mins ago




          $begingroup$
          As it turns out, my process IS right, I’m just a dumdum.
          $endgroup$
          – El-Guest
          8 mins ago


















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          Tom Holland Mục lục Đầu đời và giáo dục | Sự nghiệp | Cuộc sống cá nhân | Phim tham gia | Giải thưởng và đề cử | Chú thích | Liên kết ngoài | Trình đơn chuyển hướngProfile“Person Details for Thomas Stanley Holland, "England and Wales Birth Registration Index, 1837-2008" — FamilySearch.org”"Meet Tom Holland... the 16-year-old star of The Impossible""Schoolboy actor Tom Holland finds himself in Oscar contention for role in tsunami drama"“Naomi Watts on the Prince William and Harry's reaction to her film about the late Princess Diana”lưu trữ"Holland and Pflueger Are West End's Two New 'Billy Elliots'""I'm so envious of my son, the movie star! British writer Dominic Holland's spent 20 years trying to crack Hollywood - but he's been beaten to it by a very unlikely rival"“Richard and Margaret Povey of Jersey, Channel Islands, UK: Information about Thomas Stanley Holland”"Tom Holland to play Billy Elliot""New Billy Elliot leaving the garage"Billy Elliot the Musical - Tom Holland - Billy"A Tale of four Billys: Tom Holland""The Feel Good Factor""Thames Christian College schoolboys join Myleene Klass for The Feelgood Factor""Government launches £600,000 arts bursaries pilot""BILLY's Chapman, Holland, Gardner & Jackson-Keen Visit Prime Minister""Elton John 'blown away' by Billy Elliot fifth birthday" (video with John's interview and fragments of Holland's performance)"First News interviews Arrietty's Tom Holland"“33rd Critics' Circle Film Awards winners”“National Board of Review Current Awards”Bản gốc"Ron Howard Whaling Tale 'In The Heart Of The Sea' Casts Tom Holland"“'Spider-Man' Finds Tom Holland to Star as New Web-Slinger”lưu trữ“Captain America: Civil War (2016)”“Film Review: ‘Captain America: Civil War’”lưu trữ“‘Captain America: Civil War’ review: Choose your own avenger”lưu trữ“The Lost City of Z reviews”“Sony Pictures and Marvel Studios Find Their 'Spider-Man' Star and Director”“‘Mary Magdalene’, ‘Current War’ & ‘Wind River’ Get 2017 Release Dates From Weinstein”“Lionsgate Unleashing Daisy Ridley & Tom Holland Starrer ‘Chaos Walking’ In Cannes”“PTA's 'Master' Leads Chicago Film Critics Nominations, UPDATED: Houston and Indiana Critics Nominations”“Nominaciones Goya 2013 Telecinco Cinema – ENG”“Jameson Empire Film Awards: Martin Freeman wins best actor for performance in The Hobbit”“34th Annual Young Artist Awards”Bản gốc“Teen Choice Awards 2016—Captain America: Civil War Leads Second Wave of Nominations”“BAFTA Film Award Nominations: ‘La La Land’ Leads Race”“Saturn Awards Nominations 2017: 'Rogue One,' 'Walking Dead' Lead”Tom HollandTom HollandTom HollandTom Hollandmedia.gettyimages.comWorldCat Identities300279794no20130442900000 0004 0355 42791085670554170004732cb16706349t(data)XX5557367