Answer:
see explanation
Step-by-step explanation:
A recursive formula allows us to calculate any term in the sequence from the previous term.
These are the terms of a geometric sequence with r being the common ratio between consecutive terms.
r = 4 ÷ - 2 = - 8 ÷ 4 = 16 ÷ - 8 = - 2
Multiplying a particular term by - 2 gives the next term in the sequence.
Hence recursive formula is
[tex]a_{n+1}[/tex] = - 2 [tex]a_{n}[/tex] with a₁ = - 2
