Question 1189213: What is the next number in this sequence.
1,2,5,7,11,_,17
Answer by ikleyn(52787) (Show Source):
You can put this solution on YOUR website! .
The problem and the question are mathematically non-sensical.
Below I shortly explain WHY.
Looking at the given numbers, you may notice that all of them are consecutive prime numbers (except of the first number 1).
But you have NO any mathematical/logical reason to state that the next number (or the missed number) are/is a prime number.
It is why the problem/question are mathematically non-sensical.
Children younger than 10 - 12 years may believe that they may "predict the next number".
This belief is similar to that as the children till 5-6 years believe existence of Santa Claus.
But for teenagers and older, to believe in it is just a sign of the delayed mathematical development.
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