Puzzling Asked by Dennispuz on February 13, 2021
Fill in the correct number in this sequence:
5 3 8 9 1 27 ?
The options are:
18, 54, 38, 14 or 13.
I can see the pattern of 3, 9, 27 but other than that I am clueless.
Source: a publicly available practice test in a book for an IQ-test I got via a friend in the Netherlands.
By visual inspection we see $3^1,3^2,3^3$ form an ascending sequence of powers of 3. The five given numbers cannot be the next term of this sequence. The numbers $5,1$ are divisible by themselves but $8$ is a composite number. I say the answer is $14$ because $5+1+8=14$.
If the missing number is $14$, then the numbers $18,54,38,14$ have a common factor, the number $2$. In addition to that, by subtraction of these numbers we obtain the squares $54-38=2^4$ and $18-14=2^2$.
Answered by Vassilis Parassidis on February 13, 2021
One way of thinking about it would be
This would mean that the problem is only solvable because of the specific set of choices provided.
Answered by Albert.Lang on February 13, 2021
i think the answer is 14 because, in odd position 581=40, in even position 3927=729. then you add 40 to 729= 769. then 769 -53 ( obtained by adding the numbers of the sequence) = 716. 7+1+6 you obtain 14. or you can 3927= 729 then 7+2+9=18, 581=40 you obtain 4. 18-4=14
Answered by user71668 on February 13, 2021
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