Which explains why the graphs of geometric sequences are a series of unconnected points rather than a smooth curve?

The range contains only natural numbers.
The domain contains only natural numbers.
Exponential bases must be whole numbers.
Initial values must be whole numbers.

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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.

Lanuel

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