AI generatedAlgebraKS3 / GCSE

Recognising triangular-number sequences

Recognising triangular-number sequences.

  • 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

This sequence is 1 times consecutive triangular numbers. Find the next term.

Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.

Example 2

This sequence is 1 times consecutive triangular numbers. Find the next term.

Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.

Your turn

Question 1

This sequence is 1 times consecutive triangular numbers. Find the next term.

Check answer
Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.
Question 2

This sequence is 1 times consecutive triangular numbers. Find the next term.

Check answer
Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.
Question 3

This sequence is 1 times consecutive triangular numbers. Find the next term.

Check answer
Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.
Question 4

This sequence is 1 times consecutive triangular numbers. Find the next term.

Check answer
Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.
Question 5

This sequence is 1 times consecutive triangular numbers. Find the next term.

Check answer
Next base termEach basic triangular number adds the next counting number.
Next termApply the same multiplier.
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