Graphs of Sequences

Explore and analyze the graphical representation of sequences, including arithmetic, geometric, and other types of sequences.

Grade 12 Math Sequences and SeriesGraphs of Sequences

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2 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.IF.A.3

Topics

sequencesgraphsalgebragrade 12

7 sections · Free to use · Printable

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Graphs of Sequences

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

1. Consider the sequence defined by a_n = 2n + 1. Plot the first 5 terms of this sequence on the graph below. What type of sequence is this?

2. The graph of a sequence shows points that are increasing rapidly and curve upwards. Which of the following best describes this sequence?

Arithmetic sequence with a positive common difference

Geometric sequence with a common ratio greater than 1

Arithmetic sequence with a negative common difference

Geometric sequence with a common ratio between 0 and 1

3. A sequence is graphed with points (1, 8), (2, 4), (3, 2), (4, 1). The next term in the sequence would be , and the general formula for this sequence is a_n = .

4. Graph the first 4 terms of the sequence a_n = n^2 - 1. Describe the shape of the graph.

5. The graph of an arithmetic sequence always forms a straight line.

True

False