Answer:
see explanation
Step-by-step explanation:
There is a common ratio between consecutive terms , that is
6 ÷ - 2 = - 18 ÷ 6 = 54 ÷ - 18 = - 162 ÷ 54 = - 3
This indicates the sequence is geometric with explicit rule
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = - 3 , then
a₁₀ = - 2 [tex](-3)^{9}[/tex] = - 2 × - 19683 = 39366
