5
QuizMultiple Choice

Exponential Decay Functions — Unit test

Question 5 • CA-Mathematics I

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

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

Explanation

A geometric sequence is defined by terms indexed by natural numbers, such as the 1st, 2nd, and 3rd terms. Its domain therefore consists of separate whole-number inputs, so the graph has isolated points rather than values at every point along a smooth curve. The correct choice is B, “The domain contains only natural numbers.”

AI-written and checked against the verified answer.

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