Graphing Sequences Worksheet
A Grade 9 math worksheet focusing on graphing arithmetic and geometric sequences, interpreting graphs, and finding patterns.
Includes
Standards
Topics
Graphing Sequences
Name:
Date:
Score:
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
Related Worksheets
Geometric Sequences Worksheet
Explore and practice identifying, analyzing, and calculating terms in geometric sequences for Grade 9 Math.
Graphs of Sequences Worksheet
Explore the graphs of arithmetic and geometric sequences and understand their visual representations.
Arithmetic Series Worksheet
A Grade 9 math worksheet focusing on understanding and calculating arithmetic series, including finding the nth term and the sum of n terms.
Fibonacci Sequence Worksheet
Explore the Fibonacci sequence, its properties, and its appearance in nature and mathematics with this Grade 9 worksheet.
Grade 9 Geometric Series Worksheet
This worksheet covers fundamental concepts and calculations related to geometric series for Grade 9 students.
Arithmetic Sequences Word Problems
This worksheet focuses on solving real-world problems using arithmetic sequences, suitable for Grade 9 math students.
Grade 9 Recursive Formulas Worksheet
This worksheet focuses on understanding and applying recursive formulas for sequences, suitable for Grade 9 math students.
Recursive and Explicit Formulas Worksheet
Explore recursive and explicit formulas for sequences, practice identifying patterns, and write formulas for arithmetic and geometric sequences.