Sequences and series
Arithmetic sequences worksheets
Identify arithmetic sequences, find common differences, evaluate specified terms and write explicit formulas with integer or tenths practice.
Preview and downloadSequences and series practice
Arithmetic series worksheets
Sum finite arithmetic lists, evaluate sigma notation and find the number of terms from a first term, last term and total. Choose integers or tenths.
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Add exactly the displayed terms, evaluate each finite sum and use the given endpoints and total to find the number of terms.
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From terms to a finite total
Each sheet has four finite-list sums, four sigma-notation sums and four questions about the number of terms. Choose integer, tenths or mixed practice.
Finite lists show exactly which terms to add. Sigma sums give both limits, and every number-of-terms question includes a first term, last term and total.
Learning objective
What this activity builds
Connect the first and last terms, number of terms and total of a finite arithmetic series.
Worked example
Find the sum of 5, 9, 13, 17.
44
There are four terms. Their average is (5 + 17) / 2 = 11, so the total is 4 × 11 = 44.
Teaching notes
Make the practice count
- Count the terms before finding a finite sum.
- In sigma notation, substitute the lower index to find the first term.
- Use S = n(first + last) / 2 for an arithmetic series.
- Keep a negative difference and a negative total when the arithmetic gives them.
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Choose your options, update the preview, then download the exact same pages.
Choose integers, tenths or mixed practice. Add finite lists, evaluate sigma notation and find the number of terms.
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A useful next step
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