Answer:
The 4th term is -37.
Step-by-step explanation:
The first term of the series is
[tex]a_1=-2[/tex],
the second term of the series is
[tex]a_2 =2a_1-3[/tex]
[tex]a_2=2(-2)-3\\\\a_2=-7,[/tex]
the third term is
[tex]a_3 = 2a_2-3[/tex]
[tex]a_3=2(-7)-3[/tex]
[tex]a_3=-17[/tex],
and the fourth term of the series is
[tex]a_4=2a_3-3\\[/tex]
[tex]a_4=2(-17)-3[/tex]
[tex]\boxed{a_4=-37}[/tex]
