Without Panic Maths · Algebra 38

Sequences 4: nth Term Practice and Problems

Use nth terms to generate, jump, test membership, compare sequences and solve real problems

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Mini-lessons
10
Questions
132
Student Pack
91 pages
Suggested year
Year 8

What you get

  • Student Pack (PDF, 91 pages)
  • Teacher Pack (PDF) with every answer and reteach cards
  • Print as many copies as you need for your own pupils

Save with a bundle

  • Sequences8 packs · £28 £25
  • Algebra, Year 819 packs · £66.50 £59
  • Algebra: complete strand48 packs · £161 £142

What this pack does

What pupils learn

This pack turns nth-term knowledge into problem solving. Pupils retrieve and verify linear nth terms, generate sequences, find distant terms, test whether a value belongs to a sequence, recover term positions, compare two rules, find equal values, model growing patterns and interpret simple contexts. Quadratic sequences are deliberately left for a later pack. 1 - Sequences 4 - nth Term Practice and Problems Without Panic | Student Pack

The mini-lessons

  1. Retrieve the nth-term method quickly
  2. Generate a sequence from an nth term
  3. Find far-away terms directly
  4. Decide whether a number is in the sequence
  5. Find which term has a given value
  6. Compare two sequences at the same position
  7. Find when two sequences have the same value
  8. Build nth terms from growing patterns
  9. Use nth terms in real contexts
  10. Mistake Detective: derive, use and interpret

Inside every pack

What each part of the page is for

  1. Confidence check

    Pupils tick how a topic feels before they start, and again at the end. There are no marks, so it's an honest picture of where they are.

  2. Short mini-lessons

    Each topic is split into small steps. Every mini-lesson opens with one big idea and a short, plain-English explanation.

  3. Visuals for every idea

    Diagrams such as a formula 'rule machine' or a place-value picture show the maths, so pupils can see it as well as read it.

  4. Worked examples

    Every method is modelled step by step before pupils try it, with each stage labelled so they can follow it on their own.

  5. Scaffolded practice

    Questions start with prompts (what do you need to find, follow the example, check it makes sense) and gradually ask for more independence.

  6. Spot the trap

    Common mistakes are named before pupils make them, and Mistake Detective questions ask them to find and fix errors.

  7. Pause and think

    Short 'explain it in your own words' prompts check that pupils understand why the maths works, not just how.

  8. Teacher Pack with answers

    Every pack comes with a Teacher Pack: all the answers, plus reteach cards saying what to watch for, what to say, and what to try if a pupil is still stuck.

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