Question

Find the 4th term in the sequencewith the following definition:a1 = 2an = (an-1)2

Answer 1

1)

In this sequence to find the 4th term, all we need is to plug the number into that Recursive Formula

so

$\begin{gathered} a_1=2 \\ a_2=(a_{_1-1})^2=(2)^2=4 \\ a_{3\text{ }}=(a_2)^2=16 \\ a_4=(a_{4-1})^2=16^2=256 \end{gathered}$