Asked by j
Which statements correctly describe how the graph of the geometric sequence below should appear?
640, 160, 40, 10, ...
Select two options.
The graph will show exponential growth.
The graph will appear linear.
The domain will be the set of natural numbers.
The range will be the set of natural numbers.
The graph will show exponential decay.
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices:
- The domain will be the set of natural numbers.
- The graph will show exponential decay.
Reason: successive terms multiply by 1/4 (ratio < 1), so the sequence decays exponentially. As a sequence, its input values are the natural numbers n = 1,2,3,… (discrete domain). The range is not all natural numbers (later terms become non-integers), and the plot is not linear nor growth.
- The domain will be the set of natural numbers.
- The graph will show exponential decay.
Reason: successive terms multiply by 1/4 (ratio < 1), so the sequence decays exponentially. As a sequence, its input values are the natural numbers n = 1,2,3,… (discrete domain). The range is not all natural numbers (later terms become non-integers), and the plot is not linear nor growth.
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