The first term of the sequence is a1 = 2.
Calculating the second term (using n = 2), we have:
[tex]\begin{gathered} a_2=(a_{2-1})^2 \\ a_2=(a_1)^2 \\ a_2=2^2=4 \end{gathered}[/tex]
The third term (n=3) is:
[tex]a_3=(a_2)^2=4^2=16[/tex]
And the 4th term (n=4) is:
[tex]a_4=(a_3)^2=16^2=256[/tex]
So the 4th term of the sequence is 256.
