Answer:
C
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
- 6 ÷ - 3 = - 12 ÷ - 6 = - 24 ÷ - 12 = 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 3 and r = 2 , thus
a₁₁ = - 3 × [tex]2^{10}[/tex] = - 3 × 1024 = - 3072 → C
