Answer:
0.0082
Step-by-step explanation:
The n th 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 = - 2 and r = - [tex]\frac{1}{3}[/tex] , thus
[tex]a_{6}[/tex] = - 2 [tex](-\frac{1}{3}) ^{5}[/tex] = - 2 × - [tex]\frac{1}{243}[/tex] = [tex]\frac{2}{243}[/tex] ≈ 0.0082 ( nearest ten- thousandth )
