Respuesta :

The general formula of a geometric sequence is:

[tex]a_n=a_1(r)^{n-1}[/tex]

where,

n = 6

a₁ = -8100

r = -0.1

Replacing on the formula:

[tex]\begin{gathered} a_6\text{ = -8100}\times(-0.1)^{6-1} \\ a_6\text{ = 0.081} \end{gathered}[/tex]