Pearson Edexcel International GCSE in Mathematics (Specification A) · 4MA1 · Free · no account needed

Sequences

nth terms of linear sequences, and the second-difference machinery of quadratic sequences at Higher Tier.

Every lesson here ends the same way: learn it, teach it to an AI pupil who asks the awkward question, then defend it against the thinker with the strongest claim on it — free · no account needed.

2 modules of Pearson Edexcel International GCSE Mathematics (1 Higher Tier), each explained in full — what it is, why it works, when a question is asking for it, the mistakes that cost marks and worked examples — with five graded questions marked on your own device. Completely free.

The modules in Sequences

Linear Sequences & the nth Term

Finding the rule that generates a sequence — and using it to predict, test and bound terms without listing hundreds of them. A linear (arithmetic) sequence climbs by the same amount each step: 5, 9, 13, 17 climbs by 4.

When a question is asking for it: 'Find the nth term' directly; 'is 100 a term?' (set the formula equal to 100 — a whole-number n means yes); 'the first term greater/less than…' (solve an inequality); and pattern-growth questions with matchsticks or… Learn Linear Sequences & the nth Term →

Quadratic Sequences (Higher Tier)

Sequences whose differences themselves change — spotting the n² engine underneath and building the exact rule. Higher Tier. In a quadratic sequence the first differences change, but the SECOND differences are constant: 2, 6, 12, 20 has differences 4, 6, 8 and second difference 2.

When a question is asking for it: Whenever first differences aren't constant but second differences are. Learn Quadratic Sequences →

The mistakes that cost marks in Sequences

One from each module — the error examiners see most, with the module that puts it right.

• Answering 'add 4' for the nth term. That's the term-to-term rule — the question wants a formula in n. (Linear Sequences & the nth Term)
• Giving up because differences 'aren't constant'. Take differences AGAIN — constancy one level down means quadratic. (Quadratic Sequences)

Where Sequences sits in the specification

Content area 3 of 4MA1, sub-topic 3.1. Incandio is aligned to the specification and is not published by Pearson; the numbers are given so you can check every module against your own copy.

• 3.1 — Sequences — quadratic sequences (Higher)

How Sequences is mastered on Incandio

Every module above ends the same way: five questions that climb Grade 6 → 9+, then you teach the method back to Ember, an AI pupil who asks the awkward question, and defend it against the mathematician with the strongest claim on it. Exam Ready carries 21 authored exam-style questions across this strand, marked on Incandio.

All of Incandio Mathematics · The 4MA1 specification · Exam Ready