Test
Number sequences
Dynamic arithmetic and geometric sequences, nth terms, recursive rules and contextual patterns.
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Sample questions
- Continue the arithmetic sequence: ___
- An arithmetic sequence has first term ___ and difference ___. Find term ___.
- A sequence has first term ___ and difference ___. What term number has value ___?
- Continue the geometric sequence: ___
- A geometric sequence has first term ___ and ratio ___. Find term ___.
Number sequences
A number sequence is an ordered list of numbers, with its nth term denoted by aₙ. In an arithmetic sequence, each term is obtained by adding a constant difference d: aₙ = a₁ + (n − 1)d.
Analysing a sequence
In a geometric sequence, the ratio of consecutive terms is constant: aₙ = a₁qⁿ⁻¹. A recursive rule uses preceding terms, while an explicit rule gives a term directly. Decide whether the context repeatedly adds the same amount or multiplies by the same factor.
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