What does the graph of an arithmetic sequence always look like?
APoints that lie on an exponential curve
BPoints that lie on a downward parabola
CPoints that lie on a single straight line
DPoints that lie on a repeating wave curve
Answer & Solution
Correct answer: C. Points that lie on a single straight line
1. An arithmetic sequence adds the same amount at every step, so its rate of change is constant.
2. A constant rate of change is exactly what produces a straight line.
3. The plotted points therefore lie on a line, though the graph is a set of separate dots because the domain is the positive integers.
4. An exponential curve comes from a constant multiplier rather than a constant addition, so it belongs to geometric sequences.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.2 Arithmetic Sequences_
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