Answer:
-60
Explanation:
To find the 4th term we need to also find the 2nd and 3rd terms as follows:
[tex]\begin{gathered} a_n=2(a_{n-1}-3) \\ a_2=2(a_{2-1}-3) \\ a_2=2(a_1-3) \\ a_2=2(0-3) \\ a_2=2(-3) \\ a_2=-6 \end{gathered}[/tex][tex]\begin{gathered} a_3=2(a_{_2}-3) \\ a_3=2(-6-3) \\ a_3=3(-9) \\ a_3=-27 \end{gathered}[/tex]Finally, we can calculate the value of the 4th term as:
[tex]\begin{gathered} a_4=2(a_3-3) \\ a_4=2(-27-3) \\ a_4=2(-30) \\ a_4=-60 \end{gathered}[/tex]So, the answer is -60