Graphs of Sequences Worksheet

Explore the visual representation of sequences on coordinate planes, identifying patterns and characteristics of arithmetic and geometric sequences.

Grade 11 Math Sequences and SeriesGraphs of Sequences

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Includes

2 Short AnswerMultiple ChoiceFill in the BlanksCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.LE.A.2

8 sections · Free to use · Printable

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Graphs of Sequences

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Read each question carefully and provide your answer in the space provided. For graphing questions, plot the points accurately on the coordinate plane.

1. Describe the key difference in the visual representation between an arithmetic sequence and a geometric sequence on a coordinate plane.

2. A sequence is graphed as a set of points that lie on a straight line. Which type of sequence is this most likely to be?

Arithmetic sequence

Geometric sequence

Neither

Both

3. Given the arithmetic sequence 2, 5, 8, 11, ... The common difference is . The points on the graph would form a line.

4. Plot the first 5 terms of the sequence given by a_n = 2n + 1 on the coordinate plane below.

5. The graph of a geometric sequence will always be a straight line.

True

False

6. A sequence is graphed, and the points show a curve that increases rapidly. Is this more likely an arithmetic or geometric sequence? Explain your reasoning.