Respuesta :
is the explicit formula for a geometric sequence. (Correct me if I’m wrong)
The formula shown by the equation an = r ∙ an-1 for a geometric sequence is a recursive formula.
What is geometric sequence?
Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The formula of the geometric sequence can be given as,
[tex]a_n = a_1^{r-1}[/tex]
Here, a₁ is the first term of the sequence and r is the common ratio.
The recursive formula for the geometric sequence can be given as,
[tex]a_n = a_{n-1}.r[/tex]
Here, (n) is the number of term.
The explicit formula for the geometric sequence can be given as,
[tex]a_n = a_{1}.r^{n-1}[/tex]
Here, (n) is the number of term.
The formula for a geometric sequence given in the problem is,
[tex]a_n = r.a_{n-1}[/tex]
Which is the recursive formula for a geometric sequence.
Thus, the formula shown by the equation an = r ∙ an-1 for a geometric sequence is a recursive formula.
Learn more about the geometric sequence here;
https://brainly.com/question/1509142
