Answer:
[tex]a_{n+1}[/tex] = 2[tex]a_{n}[/tex] ; a₁ = - 4
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
a₁ is the first term, r the common ratio, n the term position
given the explicit formula
[tex]a_{n}[/tex] = - 4 [tex](2)^{n-1}[/tex] ← in standard form
with a₁ = - 4 and r = 2
A recursive formula, allows any term in the sequence to be found by multiplying the preceding term by the common ratio r , that is
[tex]a_{n+1}[/tex] = 2[tex]a_{n}[/tex] ; a₁ = - 4
