Test: Number sequences

Dynamic arithmetic and geometric sequences, nth terms, recursive rules and contextual patterns.

Question qty: 10
Duration in minutes: 17
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Sample questions

Given a₁ = a and aₙ = aₙ₋₁ + d, find a_n.
The first figure has a elements and each next figure has d more. How many are in figure n?
Continue the arithmetic sequence: seka
An arithmetic sequence has first term a and difference d. Find term n.
Which statement correctly describes an arithmetic sequence?
A geometric sequence has first term a and ratio q. Find term n.
A sequence has first term a and difference d. What term number has value an?
Continue the geometric sequence: seka

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.

Test: Number sequences

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Question Nr. 10 out of 10

Sample questions

Number sequences

Analysing a sequence

Test: Number sequences

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Number sequences

Analysing a sequence

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