Graphs of Sequences Worksheet
Explore the visual representation of sequences by graphing their terms on a coordinate plane, understanding patterns and types of growth.
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Graphs of Sequences
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Read each question carefully and follow the instructions. For graphing problems, plot the points accurately on the provided coordinate plane.
1. Graph the first 5 terms of the arithmetic sequence defined by a_n = 2n + 1. Describe the pattern of the points.
Description of pattern:
2. Which type of sequence will always result in points that lie on a straight line when graphed?
Geometric sequence
Arithmetic sequence
Fibonacci sequence
Quadratic sequence
3. When graphing a sequence, the term number (n) is plotted on the -axis, and the term value (a_n) is plotted on the -axis.
4. Consider a sequence whose graph shows points that are increasing rapidly, forming a curve that goes upwards. Is this likely an arithmetic or geometric sequence? Explain your reasoning.
5. The graph of a sequence connects the plotted points with a continuous line.
True
False
6. A sequence is graphed with the following points: (1, 5), (2, 9), (3, 13), (4, 17). What is the explicit formula for this sequence?