Sequences and series
Arithmetic sequences worksheets
Identify arithmetic sequences, find common differences, evaluate specified terms and write explicit formulas with integer or tenths practice.
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Comparing arithmetic and geometric sequences worksheets
Classify sequences from four terms or a formula as arithmetic, geometric or neither, with twelve questions and a separate answer key.
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Classify each sequence as arithmetic, geometric or neither. Use the stated initial value for recursive rules.
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Recognize the rule behind a sequence
Each sheet has twelve questions. Choose lists of terms, formulas or a mix, and decide whether each sequence is arithmetic, geometric or neither.
Formula practice includes linear, exponential, fractional and recursive rules. Recursive questions state the first term so the sequence is fully defined.
Learning objective
What this activity builds
Distinguish constant addition from repeated multiplication using terms, explicit formulas and initialized recursive rules.
Worked example
Classify 5, -10, 20, -40.
Geometric; the common ratio is -2.
Each term equals the preceding term multiplied by -2. The differences are not constant.
Teaching notes
Make the practice count
- Check every difference or ratio in a displayed list.
- A shift outside an exponential changes the sequence type.
- Read n - 1 as part of the exponent when it is written above the base.
- Start a recursive rule from its given first term.
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Choose your options, update the preview, then download the exact same pages.
Choose terms, formulas or a mix. Classify twelve sequences as arithmetic, geometric or neither.
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Sequences and series
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Identify geometric sequences, find common ratios, evaluate specified terms and write explicit formulas with integer or tenths first terms.
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Sequences and series
Arithmetic series worksheets
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