Answer:
The recursive formula is;
[tex]a_n=a_{n-1}\cdot2[/tex]Explanation:
The recursive formula for geometric progression can be written as;
[tex]a_n=a_{n-1}\cdot r[/tex]where r is the common difference.
Let us find the common difference of the given sequence;
[tex]-3,-6,-12,-24,\ldots[/tex][tex]\begin{gathered} r=\frac{-6}{-3}=\frac{-12}{-6} \\ r=2 \end{gathered}[/tex]we can now substitute the value of r into the recursive formula;
[tex]a_n=a_{n-1}\cdot2[/tex]Therefore, the recursive formula is;
[tex]a_n=a_{n-1}\cdot2[/tex]
