Graphs of Sequences Worksheet
Explore sequences and their graphical representations on a coordinate plane with this Grade 7 math worksheet.
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Graphs of Sequences
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Read each question carefully and follow the instructions. Show all your work where applicable.
1. Consider the sequence: 3, 6, 9, 12, ... a) What is the next term in the sequence?
b) Describe the rule for this sequence.
2. For the sequence 2, 4, 6, 8, ... a) The first term (n=1) is . b) The second term (n=2) is . c) The ordered pair for the third term would be (3, ). d) If you were to graph this sequence, the points would form a line.
3. Plot the first 4 terms of the sequence given by the rule: 'Start at 5 and add 2 to each subsequent term.'
4. Which graph represents the sequence 1, 3, 5, 7, ...?
Points (1,1), (2,2), (3,3), (4,4)
Points (1,1), (2,3), (3,5), (4,7)
Points (1,7), (2,5), (3,3), (4,1)
Points (1,0), (2,1), (3,2), (4,3)
5. A sequence is graphed with the points (1, 10), (2, 8), (3, 6), (4, 4). a) What is the rule for this sequence?
b) What would be the 6th term in this sequence?
6. True or False: The points on the graph of an arithmetic sequence always form a straight line.
True
False