Question 1164416
.


Unfortunately,  all these problems  (or,  at least,  a huge part of them)  are  EITHER  mathematically incorrect, 


OR  go out of logic (= the games with NO rules).



In any case,  they do not teach to mathematical thinking and do not develop mathematical skills.



They teach to tricks  ONLY.   If you know the trick - you are a winner.



If you don't know the trick - you are a looser,  even if you are Archimedes,  Gauss or  Einstein.



Edwin,  think for a minute and compare,  which inheritance we obtained from  Euclid,  Archimedes,  Gerolamo  Cardano,  Euler,  Gauss,  Galois, 


from one side,  and from all these    "what is the next number ?"  problems,   from the other side.




It is even awkward to me to mention these names in this context . . . let they forgive me for it . . . 




In old times  (in the past),  were there people in markets  (bazaars)  who moved small balls under thimbles.

and played the games with those who passed by  "where is a ball ?"


For me,  these games with thimbles is an exact analogue of such problems  "what is the next number ?"


Mothers always taught/instructed/educated their children --- never play with these people . . . 



Excuse me for my  English . . .