Got this as a question in an IQ test and cannot figure it out. Does anyone know?
12, 26, 31, 76, 77, 94, 101.
Got this as a question in an IQ test and cannot figure it out. Does anyone know?
12, 26, 31, 76, 77, 94, 101.
No there is no logic to this sequence, You might try some overly complicated algorithm to figure it out but that's not the point. The point of an IQ test is to test someone's IQ and for that they don't tend to ask for over complicated mathematical algorithms.
To be thorough:
You can try to find the difference between the numbers which are 14, 5, 35, 1, 17, 7. which have nothing logical about them.
you can try to add the digit (12 = 1+2 = 3) which would be 3, 8, 4, 13, 14, 13, 2 (or might be 11 (10 + 1)).
They are not part of any mathematical sequence such a Fibonacci, primes or any other sequence i know. Therefor I conclude the answer is No there is no logic.
If you consider an equation to be logical enough, then the following may explain the sequence.
If $a_n$ is the $n$-th number in the sequence, then
$a_n=\lfloor{\left(1.42n+0.37\left(-1\right)^n\right)\left(11+n\right)-0.2521n^{2.812}-2.3p_{(n+k)}+0.5}\rfloor$
where $p_{(x)}$ is the $x$-th digit of $\pi$, and $k=5388843$.
For example, if $n=3$, then
$a_3=\lfloor{\left(4.26-0.37\right)\left(14\right)-0.2521\left(3^{2.812}\right)-2.3p_{(3+5388843)}+0.5}\rfloor$
Since the 5388846th digit of $\pi$ is $8$, then
$a_3=\lfloor{\left(3.89\right)\left(14\right)-0.2521\left(3^{2.812}\right)-2.3(8)+0.5}\rfloor$
$=\lfloor 54.46-0.2521\left(3^{2.812}\right)-17.9 \rfloor$
$=\lfloor 31.023468\rfloor=31$, which is the 3rd number in the sequence.
Note that $k$ can have other values, such as 6049868, 11551553, or 12701077, and the same sequence will be produced (only possibly differing in the 8th and succeeding terms).
EDIT:
Use this to search for digits of $\pi$.