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Number sequences and patterns
Dynamic tasks help students recognise number patterns, find missing terms, continue increasing and decreasing sequences, and understand input-output tables.
Questions: 10Estimated time: 12 minutes
Time left: 00:00:00
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Sample questions
- What is the next term of the increasing sequence?___, ...
- What is the next term of the decreasing sequence?___, ...
- Which number is missing from the sequence?___
- Which operation is performed each time to obtain the next term?___
- The sequence alternates between two different operations. What is its next term?___, ...
Number sequences
A number sequence is an ordered list of terms. To continue a sequence, find a rule connecting consecutive terms. The rule may involve constant increase or decrease, multiplication, division or a repeating pattern of operations.
How can the rule be found?
- Calculate differences between consecutive terms.
- If differences vary, check multiplication or repeating operations.
- Test the rule on every given term, not only the first two.
A missing term can sometimes be found more easily by working backwards with an inverse operation. Several rules may fit only a few numbers, so select the simplest rule that matches the complete sequence shown.
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