Without Panic Maths · Algebra 37

Sequences 3: Finding the nth Term

Turn the common difference into the n-part, find the fixed adjustment and prove the rule works

Page 1 of 6Cover and what the pack covers
Cover and what the pack covers
1 / 6 · Cover and what the pack covers
£3.50Go to basket

Secure checkout by Stripe · Instant PDF download

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 teaches a visual, repeatable method for deriving the nth term of linear sequences. Pupils use the common difference to form dn, compare with the matching multiples row, find a positive or negative adjustment, use the zero-term as a checking idea, handle negative starting values and verify every rule by substitution. 1 - Sequences 3 - Finding the nth Term Without Panic | Student Pack

The mini-lessons

  1. What n means in an nth-term rule
  2. Sequences that are exact multiples
  3. The common difference gives the n-part
  4. Compare with the matching multiples
  5. Build nth terms with a positive adjustment
  6. Build nth terms with a negative adjustment
  7. Use the zero-term as a checking idea
  8. Check an nth-term rule properly
  9. Handle negative starting values calmly
  10. Mistake Detective: derive, then prove

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.

More algebra packs

Algebra 1 · Year 7

Algebra Before Algebra

Algebra can feel like maths suddenly invited the alphabet to the party and nobody explained the dress code. 1 - Algebra Before Algebra | Student Pack This pack slows everything down.

Free
Download

See all packs