Answer:
a₁ = - 256 , r = - [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
Given
[tex]a_{n}[/tex] = - 256 [tex](-\frac{1}{4}) ^{n-1}[/tex] , then by comparison
a₁ = - 256 and r = - [tex]\frac{1}{4}[/tex]
