Respuesta :
Answer:
The correct answer is:
The domain contains only natural numbers.
Step-by-step explanation:
The graphs of geometric sequences are a series of unconnected points rather than a smooth curve because:
The domain contains only natural numbers.
As the geometric sequence us given as:
[tex]a_1=a,a_2=ar,a_3=ar^2,....[/tex]
where a is the first term of the sequence and r is the common ratio of the geometric sequence.
Also [tex]a_n[/tex] denotes the nth term of the sequence where n belongs to natural numbers that is the domain of the function is natural numbers.
The reason why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve is because: B. The domain contains only natural numbers.
What is a geometric sequence?
A geometric sequence is typically a series of real and natural numbers that are calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
[tex]a, \;ar, \; ar^{2} ....a_n[/tex]
Where:
- r is the common ratio.
- a is the first term of a geometric sequence.
In a geometric sequence, the graphs of geometric sequences comprises a series of unconnected points rather than a smooth curve is because the domain is made up of only natural numbers.
Read more on geometric sequence here: https://brainly.com/question/12630565