Respuesta :

Given:

First-term, a=8

The common ratio is r=1.5

To find the 5th term in a geometric sequence:

Using the nth term formula of a geometric sequence,

[tex]\begin{gathered} a_n=ar^{n-1} \\ a_5=8(1.5)^{5-1} \\ =8(1.5)^4 \\ =40.5 \end{gathered}[/tex]

Hence, the answer is,

[tex]a_5=40.5[/tex]