Graphing Sequences
Explore graphing arithmetic and geometric sequences on a coordinate plane.
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Graphing Sequences Worksheet
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Read each question carefully and follow the instructions to graph the given sequences. Remember to label your axes and plot your points accurately.
1. Consider the sequence: 3, 6, 9, 12, ... a) Is this an arithmetic or geometric sequence? Explain your reasoning.
b) What is the next term in the sequence?
2. Graph the first 5 terms of the arithmetic sequence defined by a_n = 2n + 1. Remember that 'n' represents the term number (1, 2, 3, ...).
3. Graph the first 4 terms of the geometric sequence where the first term is 2 and the common ratio is 2. (Hint: The terms are 2, 4, 8, 16).
4. In an arithmetic sequence, the graph forms a line, while in a geometric sequence, the graph forms a curve.
5. Describe how you can determine if a sequence is arithmetic or geometric by looking at its graph.