The missing value in the following figure is: Answer: 4

Question

The missing value in the following figure is:

Answer: 4

Accepted Answer

The pattern: the inner number equals (difference of the two outer numbers) $\times$ (difference)!.

For example $1=(2-1)^{(2-1)!}$-type patterns, or more precisely inner $=(\text{difference})(\text{difference})!$.

Following the pattern established by the other cells (e.g., $4$ inside from outer numbers differing by $2$, giving $2\times2!=4$; and $6$ from outer numbers differing by $3$, giving $3\times2!=6$), the missing value corresponds to outer numbers differing by $2$:

$$\text{Missing value} = 2\times2! = 4$$

Solutions · 1