Graphs of Sequences Worksheet
Explore the graphs of arithmetic and geometric sequences and understand their visual representations.
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Graphs of Sequences
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Read each question carefully and follow the instructions to determine the properties and graphs of sequences.
1. Which type of sequence, when graphed, will always form a straight line?
Geometric sequence
Arithmetic sequence
Fibonacci sequence
Quadratic sequence
2. The points on the graph of a geometric sequence will typically lie on a(n) curve.
linear
parabolic
exponential
circular
3. The independent variable when graphing a sequence is typically the term .
4. For an arithmetic sequence, the difference between consecutive terms is constant.
5. Consider the arithmetic sequence: 2, 5, 8, 11, 14. Plot these points on the coordinate plane below.
6. Consider the geometric sequence: 1, 2, 4, 8, 16. Plot these points on the coordinate plane below.
7. The graph of an arithmetic sequence is a set of discrete points that form a straight line.
True
False
8. The graph of a geometric sequence with a common ratio greater than 1 will always decrease.
True
False
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