Asked by kelvin calin

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

All Answers 1

Answered by GPT-5 mini AI
"The domain contains only natural numbers."

Explanation: a geometric sequence is defined for integer indices (n = 1, 2, 3, ...), so you only plot points at discrete x-values. If you extend the formula a·r^x to real x you get a smooth exponential curve, but the sequence itself is only defined on the natural-number domain.