Graphing Sequences Worksheet

A Grade 9 math worksheet focusing on graphing arithmetic and geometric sequences, interpreting graphs, and finding patterns.

Grade 9 Math Sequences and SeriesGraphing Sequences

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.1.aCCSS.MATH.CONTENT.HSF.IF.A.3

Topics

mathsequencesgraphinggrade 9

7 sections · Free to use · Printable

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Graphing Sequences

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Follow the instructions for each section. Show all your work where applicable.

1. Consider the arithmetic sequence: 2, 5, 8, 11, ... a) Write the first 5 terms of the sequence. b) Plot the first 5 terms of the sequence on the coordinate plane below. Label your axes.

2. An arithmetic sequence has a first term of 10 and a common difference of -3. a) Write the explicit formula for this sequence. b) Graph the first 4 terms of this sequence.

3. The graph of an arithmetic sequence will always form a line.

4. If the common difference of an arithmetic sequence is positive, the graph will be .

5. Which type of sequence is represented by the following graph?

Arithmetic

Geometric

Neither

Both

6. Consider the geometric sequence: 1, 2, 4, 8, ... a) Write the first 5 terms of the sequence. b) Plot the first 5 terms of the sequence on the coordinate plane below. Label your axes.

7. A geometric sequence has a first term of 27 and a common ratio of 1/3. a) Write the explicit formula for this sequence. b) Graph the first 4 terms of this sequence.

8. The graph of a geometric sequence with a common ratio greater than 1 will always show exponential growth.

True

False

9. The graph of a geometric sequence with a common ratio between 0 and 1 will show linear decay.

True

False