Yes... depending on what you mean. The trend is indefinite with respect to what? You haven't really given an adequate set of operations for us to observe. I'm going to do this in an intuitive, non-rigorous, informal, please-don't-yell-at-me-mathematicians kind of way.
Consider the common binary operations, and let's restrict the operands to integers only. This allows us to define an ordered sequence for the operations in which each is an iteration of the previous function.

for

is the binary growth operation in which

and

are the operands.

denotes what "level" the operation is in the iterative sequence.

: Addition

: Multiplication

: Exponentiation
... and so forth.
For sake of a shorter answer, I'll only show the iterative equality where one of the operands is 2 (for exponentiation and higher operations, the base remains arbitrary with the corresponding hyper-power being 2)...
Multiplication :

Exponentiation :

Tetration :

... and so forth.
Knowing this, from an intuitive view, we see that the operation

for any level

can be "broken down" to a lower and lower level until we reach

. So no matter what "level" of operation we are at, 2@2 will equal 4. And we can see this thanks to the iterative definition.