Graphing Sequences Worksheet
This worksheet focuses on graphing arithmetic and geometric sequences, analyzing their patterns, and predicting future terms.
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Standards
Graphing Sequences
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Read each question carefully and follow the instructions. Show all your work where applicable.
1. Consider the arithmetic sequence defined by a_n = 3n - 2. Graph the first 5 terms of this sequence on the coordinate plane below.
2. What type of graph is formed by the terms of an arithmetic sequence? Explain why.
3. Graph the first 4 terms of the geometric sequence where a_1 = 2 and r = 1.5. Use the coordinate plane below.
4. What type of graph is formed by the terms of a geometric sequence? Explain why.
5. If the graph of a sequence forms a straight line, the sequence is .
6. If the graph of a sequence forms a curve that increases or decreases rapidly, the sequence is .
7. Which of the following graphs represents an arithmetic sequence?
A graph with points forming a straight line.
A graph with points forming an exponential curve.
A graph with points scattered randomly.
A graph with points forming a parabola.
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