AI generatedAlgebraKey Stage 3

Sequences from diagrams

Sequences from diagrams.

  • Check whether the change is additive, multiplicative or based on the previous two terms.
  • A term-to-term rule moves between terms. A position-to-term rule uses the term number .
  • Check a proposed rule against at least the first two given terms.

Example 1

Find a rule for the number of tiles, then the number in term 7.

The first three terms of a growing tile patternTerm 1Term 2Term 3
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.

Example 2

Find a rule for the number of tiles, then the number in term 8.

The first three terms of a growing tile patternTerm 1Term 2Term 3
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.

Your turn

Question 1

Find a rule for the number of tiles, then the number in term 9.

The first three terms of a growing tile patternTerm 1Term 2Term 3
Check answer
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.
Question 2

Find a rule for the number of tiles, then the number in term 10.

The first three terms of a growing tile patternTerm 1Term 2Term 3
Check answer
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.
Question 3

Find a rule for the number of tiles, then the number in term 11.

The first three terms of a growing tile patternTerm 1Term 2Term 3
Check answer
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.
Question 4

Find a rule for the number of tiles, then the number in term 12.

The first three terms of a growing tile patternTerm 1Term 2Term 3
Check answer
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.
Question 5

Find a rule for the number of tiles, then the number in term 13.

The first three terms of a growing tile patternTerm 1Term 2Term 3
Check answer
DifferenceCount the tiles. The same number is added each time.
Match to term 1 to find the constant.Substitute the requested position.
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