Maths

Stretch – Position-to-Term Rule (nth term)

Stretch (universal 11+): find and use the position-to-term rule (nth term) of a linear sequence.

MathsAge 11+25 minutes

What this topic covers

  • Find the nth term of a linear sequence as an + b from the step and the zeroth term.
  • Use the nth term to find any term directly and to test whether a number is in the sequence.
  • Recognise decreasing sequences have a negative coefficient.

Core concept summaries

Key ConceptsStep Times nUsing ItDecreasing; the n-Plus 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

7, 11, 15, 19. nth term?

  1. 4n
  2. n + 4
  3. 3n + 4
  4. 4n + 3
Show the answer

Answer: D. 4n + 3

Step 4, zeroth 3.