Question 1164416: 1,2,4,7,28,33, what comes next
Found 2 solutions by Edwin McCravy, ikleyn:
Answer by Edwin McCravy(20056)   (Show Source):
You can put this solution on YOUR website!
Ikleyn and greenstamps will probably tell you that any number will do, and
Ikleyn will likely chew you out for posting it. But they probably have
never seen such sequences on tests given by employers to applicants, to test
their reasoning ability. The idea is to think of the simplest pattern that
works.
Start with 1,
Now we have 1, add 1, get 2.
Now we have 2, multiply by 2, get 4.
Now we have 4, add 3, get 7.
Now we have 7, multiply by 4, get 28.
Now we have 28, add 5, get 33.
Now we have 33, multiply by 6, get 198.
Edwin
Answer by ikleyn(52790)  (Show Source):
You can put this solution on YOUR website! .
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 . . .
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