a) \( 2 ; 8 ; x ; 26 \)

To find the value of \( x \) in the sequence \( 2 ; 8 ; x ; 26 \), let's first note the pattern. Observing the differences, we have: \( 8 - 2 = 6 \) and \( 26 - x \). To uncover the possible logic, we can also consider the incremental pattern: - The jump from 2 to 8 is an increase of 6. - If we analyze further, perhaps the next jumps are equally increasing or developing in a pattern. Continuing with a consistent increase, if we assume a difference of 6 plus some common differences, \( x \) could be found using additional calculations based on the discovered relationship of the differences. Therefore, \( x = 14 \) makes sense because \( 14 - 8 = 6 \) (the same difference), and \( 26 - 14 = 12 \) (reflecting an organized arrangement). In numbers, the sequence is consistent!