Graphs of Sequences Worksheet
Explore sequences and their graphical representations on a coordinate plane, including identifying patterns and plotting terms.
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Graphs of Sequences
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Read each question carefully and follow the instructions. Show your work where applicable. For graphing questions, plot the points accurately on the coordinate plane.
1. What is a sequence?
2. Describe how you can identify a pattern in a sequence.
3. The first term of the sequence 2, 4, 6, 8, ... is .
4. The next two terms in the sequence 10, 15, 20, 25, ... are and .
5. Plot the first five terms of the sequence where the nth term is given by n + 2. (Term number on x-axis, Term value on y-axis)
6. For the sequence 1, 3, 5, 7, 9, ... what would be the coordinates of the 6th term if plotted on a graph?
( , )
7. Which of the following graphs represents a sequence where each term is twice the previous term?
Graph A
Graph B
Graph C
Graph D
Graph A: (1,2), (2,4), (3,6), (4,8)
Graph B: (1,1), (2,2), (3,3), (4,4)
Graph C: (1,2), (2,3), (3,4), (4,5)
Graph D: (1,2), (2,5), (3,8), (4,11)
8. A graph shows the points (1, 5), (2, 10), (3, 15), (4, 20). Write the sequence represented by these points.
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