By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;
The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞
Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.
