Answer:
a₈ = - 768
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n} [/tex] = a₁ [tex](r)^{n-1} [/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 6 and r = [tex]\frac{a_{2} }{a_{1} } [/tex] = [tex]\frac{-12}{6} [/tex] = - 2 , then
a₈ = 6 × [tex]-2)^{7} [/tex] = - 6 × - 128 = - 768
