Answer:
[tex]a_{n}=120(\frac{1}{3})^{n-1}[/tex]
Step-by-step explanation:
The given geometric sequence is 120, 40, 40/3, 40/9.........n terms.
As we know nth term of a geometric sequence is represented as
[tex]a_{n}=a(r)^{n-1}[/tex]
Here a(n) = nth term
a = first term
r = common ratio
n = number of terms
In this sequence a = 120
r = second term/first term = 40/120 = 1/3
Therefore the sequence can be represented as
[tex]a_{n}=120(\frac{1}{3})^{n-1}[/tex]
Explicit rule of the geometric sequence is
[tex]a_{n}=120(\frac{1}{3})^{n-1}[/tex]
