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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Sequences and series worksheets
Connect a list of terms with its pattern, an explicit formula and an initialized recursive rule. Compare sequence types, fill missing arithmetic or geometric means, or calculate finite polynomial and exponential sums, arithmetic sums and finite or infinite geometric sums, with a separate answer key.
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Build, compare and sum sequences
Sequences and series
Geometric sequences worksheets
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
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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Sequences and series
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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Sequences and series
Finite geometric series worksheets
Sum geometric lists, evaluate finite sigma notation and find the number of terms from a first term, last term and total. Choose integers, tenths or mixed practice.
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Sequences and series
Infinite geometric series worksheets
Decide convergence or divergence, find infinite geometric sums and determine common ratios from terms, sigma notation or first-term and total givens. Choose fractions or decimals.
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Sequences and series
General series worksheets
Expand sigma notation into finite sums, evaluate polynomial and exponential series, and rewrite sums in sigma notation. Combine the three problem types in twelve-question worksheets.
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Sequences and series
Arithmetic and geometric means worksheets
Insert one, two or three missing terms between endpoints of arithmetic and geometric sequences. Choose positive, negative or mixed numbers with twelve questions and separate answer keys.
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Sequences and series
General sequences worksheets
Continue number patterns, write explicit and recursive sequence formulas, and find the first four terms from a given rule. Practice linear, quadratic and exponential patterns.
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An arithmetic sequence adds the same difference each time. A geometric sequence multiplies by the same ratio. Check all consecutive terms before deciding that the rule holds.
Choose focused practice in general sequence rules and recursion, comparisons, arithmetic and geometric means, general series, arithmetic series, finite geometric series or infinite geometric series. Use a negative difference to practice decreasing arithmetic sequences, or a negative ratio to explore alternating signs.