Maths

Stretch – Special Sequences

Stretch (universal 11+): recognise and continue square, triangular, cube and Fibonacci-type sequences, and sequences with changing differences.

MathsAge 11+25 minutes

What this topic covers

  • Recognise square numbers, triangular numbers and cube numbers as sequences.
  • Continue a sequence whose differences change by a pattern (second differences).
  • Continue Fibonacci-type sequences (each term the sum of the previous two).

Core concept summaries

Key ConceptsSquares, Cubes, TrianglesChanging DifferencesFibonacci-Type; the Linear Trap

Practice formats pupils may meet

NeurofiED uses varied practice to help pupils apply the idea actively, check understanding and build confidence over time.

clozematchingquiz

Example quiz question

1, 4, 9, 16, 25. Next?

  1. 35
  2. 36
  3. 49
  4. 30
Show the answer

Answer: B. 36

6².