The recursive definition of the geometric sequence is given as follows:
- [tex]f(1) = \frac{1}{9}[/tex].
What is a geometric sequence?
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The recursive definition of the geometric sequence is given as follows:
For this sequence, the first term and common ratio are given as follows:
[tex]a_1 = \frac{1}{9}, q = 3[/tex].
Then the recursive definition is:
- [tex]f(1) = \frac{1}{9}[/tex].
More can be learned about geometric sequences at https://brainly.com/question/11847927
#SPJ1
