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Graphs of Sequences Worksheet

Explore the graphs of arithmetic and geometric sequences and understand their visual representations.

Grade 9 Math Sequences and SeriesGraphs of Sequences
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Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.A.2CCSS.MATH.CONTENT.HSF.LE.A.2
6 sections · Free to use · Printable
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Graphs of Sequences

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Read each question carefully and follow the instructions to determine the properties and graphs of sequences.

1. Which type of sequence, when graphed, will always form a straight line?

a

Geometric sequence

b

Arithmetic sequence

c

Fibonacci sequence

d

Quadratic sequence

2. The points on the graph of a geometric sequence will typically lie on a(n)   curve.

a

linear

b

parabolic

c

exponential

d

circular

3. The independent variable when graphing a sequence is typically the term  .

4. For an arithmetic sequence, the   difference between consecutive terms is constant.

5. Consider the arithmetic sequence: 2, 5, 8, 11, 14. Plot these points on the coordinate plane below.

024681012142468101214

6. Consider the geometric sequence: 1, 2, 4, 8, 16. Plot these points on the coordinate plane below.

024681012141618202468101214161820

7. The graph of an arithmetic sequence is a set of discrete points that form a straight line.

T

True

F

False

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

T

True

F

False