# Number patterns notes

> CAPS-aligned study notes for Number patterns in Grade 12 Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns

Breadcrumbs: [Home](https://www.hlayiso.com/) › [Grade 12](https://www.hlayiso.com/grade-12) › [Mathematics](https://www.hlayiso.com/grade-12/mathematics) › [Notes](https://www.hlayiso.com/grade-12/mathematics/notes) › [Number patterns](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns)

## Sections in Number patterns

Each entry shows the free preview (about 200 characters). Create a free Hlayiso account to read the full notes, practise every question and track your progress.

- [Number Patterns](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns/number-patterns) — Number Patterns A number pattern is a list of numbers arranged in a specific order, where each number follows a particular rule. You encounter patterns everywhere in mathematics, from simple counting…
- [Arithmetic Sequences](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns/arithmetic-sequences) — Arithmetic Sequences An arithmetic sequence is the most straightforward type of number pattern you will encounter in Grade 12. You add (or subtract) the same value to get from one term to the next.…
- [Quadratic Sequences](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns/quadratic-sequences) — Quadratic Sequences A quadratic sequence is a pattern whose first differences are not constant, but whose second differences are. This means the differences between consecutive terms form their own…
- [Geometric Sequences](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns/geometric-sequences) — Geometric Sequences A geometric sequence is a pattern where each term is obtained by multiplying the previous term by a fixed value called the common ratio. Unlike arithmetic sequences (which grow by…
- [Arithmetic and Geometric Series](https://www.hlayiso.com/grade-12/mathematics/notes/number-patterns/arithmetic-and-geometric-series) — Arithmetic and Geometric Series A series is the sum of the terms of a sequence. While a sequence is just a list of numbers, a series adds them together. This section covers the sum formulas for…

## Other Mathematics topics

- [Exponents and Surds](https://www.hlayiso.com/grade-12/mathematics/notes/exponents-and-surds)
- [Algebraic expressions, equations and inequalities](https://www.hlayiso.com/grade-12/mathematics/notes/algebraic-expressions-equations-and-inequalities)
- [Functions and graphs](https://www.hlayiso.com/grade-12/mathematics/notes/functions-and-graphs)
- [Trig Functions](https://www.hlayiso.com/grade-12/mathematics/notes/trig-functions)
- [Finance, growth and decay](https://www.hlayiso.com/grade-12/mathematics/notes/finance-growth-and-decay)
- [Differential Calculus](https://www.hlayiso.com/grade-12/mathematics/notes/differential-calculus)
- [Counting principle and probability](https://www.hlayiso.com/grade-12/mathematics/notes/counting-principle-and-probability)
- [Analytical Geometry](https://www.hlayiso.com/grade-12/mathematics/notes/analytical-geometry)
- [Trigonometry](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry)
- [Trigonometry: Sine, Cosine and Area Rules](https://www.hlayiso.com/grade-12/mathematics/notes/trigonometry-sine-cosine-and-area-rules)
- [Euclidean Geometry](https://www.hlayiso.com/grade-12/mathematics/notes/euclidean-geometry)
- [Statistics](https://www.hlayiso.com/grade-12/mathematics/notes/statistics)

## Frequently asked questions

### What is covered in Number patterns for Grade 12 Mathematics?

The Number patterns section covers all key concepts from the Grade 12 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Number patterns notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Number patterns notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Mathematics exams.

### Are there quizzes for Number patterns?

Yes. Hlayiso has quizzes for Number patterns in Grade 12 Mathematics. Test your understanding after reading the notes.

---

Hlayiso: free CAPS and IEB past papers, memos, notes and study guides for South African learners. When citing, link the page URL above, not a PDF or /api/ URL.
