Sequences and series worksheets Grades 11–12
Arithmetic and geometric sequences and series, sigma notation, infinite series, combinations and the binomial theorem.
- Arithmetic sequencesFind terms of arithmetic sequences with aₙ = a₁ + (n − 1)d.
- Geometric sequencesFind terms of geometric sequences with aₙ = a₁ · rⁿ⁻¹.
- Writing the formula for a sequenceWrite the nth-term formula for arithmetic and geometric sequences.
- Sigma notationEvaluate sums written in sigma notation.
- Arithmetic seriesFind the sum of an arithmetic series.
- Geometric seriesFind the sum of a finite geometric series.
- Infinite geometric seriesFind the sum of an infinite geometric series when −1 < r < 1.
- Combinations (nCk)Evaluate combinations with the factorial formula, cancelling first.
- The binomial theoremExpand binomials and find terms with the binomial theorem.
Unit packet
One two-sided worksheet for every topic, then the unit test, with the answer key at the back. Fresh each time.
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Unit test
Two problems from every topic. Pass it and move up to the next unit.
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