Answer:
-42
Step-by-step explanation:
This is a recursively defined sequence; one where we're given the first term in the sequence and rule for generating consecutive terms. Here, our rule is "double the difference of the last term and three". We're told our first term, a1, is 0, so following our rule, we have
[tex]a_2=2(0-3)=2(-3)=-6\\a_3=2(-6-3)=2(-9)=-18\\a_4=2(-18-3)=2(-41)=-42[/tex]
So the fourth term in the sequence will be -42.
