Answer:
see explanation
Step-by-step explanation:
The given terms are the terms of a geometric sequence with common ratio
r = [tex]\frac{12}{-3}[/tex] = [tex]\frac{-48}{12}[/tex] = [tex]\frac{192}{-48}[/tex] = - 4
A recursive formula enables any term in the sequence from the previous term.
Thus multiplying the previous term by - 4 gives the next term in the sequence
Hence the recursive formula is
[tex]a_{n+1}[/tex] = - 4[tex]a_{n}[/tex] , [tex]a_{1}[/tex] = - 3
