Arithmetic Sequences - Worksheet 6 - 9th Grade
MediumIdentify arithmetic sequences and represent as linear functions (Medium)
22 problems · 20-25 minutes · Skills: sequences, linear functions, patterns
About This Worksheet
This medium-level worksheet contains 22 problems designed for 9th Grade students practicing arithmetic sequences as linear functions. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Arithmetic sequences are linear functions with integer domains. Seeing this connection unifies two seemingly separate topics and previews geometric sequences and exponential functions. Sequences also appear in financial mathematics, physics, and computer science algorithms.
- Identify the common difference of an arithmetic sequence
- Write explicit formulas for arithmetic sequences as linear functions
- Connect arithmetic sequences to the slope-intercept form of a line
- Find the nth term of an arithmetic sequence using the explicit formula aₙ = a₁ + (n−1)d
- Determine whether a given sequence is arithmetic by checking for a constant difference
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this arithmetic sequences - worksheet 6 worksheet?
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How do I find worksheets at different difficulty levels?
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What skills does this functions & relations worksheet cover?
This worksheet focuses on sequences, linear functions, patterns. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.