Question

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.

Answer 1

Answer: B.

(The domain contains only natural numbers.)

Explanation:

Answer 2

The correct answer is:

The domain contains only natural numbers .

Explanation:

The domain of a geometric sequence is the set of term numbers. This is the position of each term in the sequence: first, second, third, etc.

Since the domain is the set of positions, there are no decimal or fraction numbers in the domain. There would be no "2 and a half" term; it goes from the second to third.

This means that the values between the terms of the sequence have no value, and the graph will not be connected.