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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.
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Question 1out of 10
78, 91, 104, 117, 130, ...
This is an increasing arithmetic sequence: every term increases by the same amount.
- Subtract the first term from the second to find the common difference.
- Check that the other terms increase by the same difference.
- Add that difference to the last shown term.
The result is the next term of the sequence.
Question 2out of 10
48, 53, 54, 57, 60, 63
Question 3out of 10
4, 8, 16, 32, 64, ...
Question 4out of 10
92, 77, 62, 47, 32, ...
Question 5out of 10
50, 47, 44, 41, 38, ...
Question 6out of 10
| x | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| y | 18 | 26 | 34 | ? |
Question 7out of 10
25, 33, 36, 44, 47, 55, ...
Question 8out of 10
9, ?, 39, 54, 69, 84
Question 9out of 10
40, 42, 44, 46, 48
Question 10out of 10
30, 37, 43, 50, 56, 63, ...
Time left: 00:00:00
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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