6
practice testMultiple Choice

Practice Test

Question 6 • Mathematics I

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

Answer
A
The domain contains only natural numbers.
B
Exponential bases must be whole numbers.
C
Initial values must be whole numbers.
D
The range contains only natural numbers.

Explanation

A geometric sequence is defined for discrete term numbers such as 1, 2, 3, and so on, rather than for every value along a continuous interval. Its graph therefore has separate points at those natural-number inputs, not a smooth curve connecting them. The sequence’s terms do not have to be natural numbers, so choice D is not the reason.

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