Step 1 :The given sequence is \([4, 10, 16, 22]\).
Step 2 :This is an arithmetic sequence, where each term is obtained by adding a constant difference to the previous term.
Step 3 :The common difference can be obtained by subtracting the first term from the second term, or the second term from the third term, and so on.
Step 4 :In this case, the common difference is \(10 - 4 = 6\).
Step 5 :Once we have the common difference, we can write the general term \(a_{n}\) of the sequence.
Step 6 :The general term \(a_{n}\) of the sequence is given by \(a_{n} = 4 + (n-1)*6\).
Step 7 :\(\boxed{a_{n} = 4 + 6(n-1)}\) is the final answer.