Respuesta :

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence 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

r = 36 ÷ 24 = 54 ÷ 36 = 81 ÷ 54 = 1.5 and a₁ = 24, hence

[tex]a_{n}[/tex] = 24 [tex](1.5)^{n-1}[/tex] ← explicit formula

7 is the right answer to the question