Answer:
[tex]a_{n}[/tex] = 4[tex](6)^{n-1}[/tex]
Step-by-step explanation:
Note the terms in the sequence have a common ratio, that is
r = 24÷ 4 = 144÷ 24 = 864 ÷ 144 = 6
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 4 and r = 6, thus
[tex]a_{n}[/tex] = 4[tex](6)^{n-1}[/tex] ← explicit formula
