Sequences and proportion

About this lab: Sequences and proportion

Interactive simulation for Cambridge IGCSE Mathematics 0580 topics 2.7 and 2.8: count growing match, tile and dot patterns and find their rule, find the nth term of a linear sequence and test whether a number is a term, find the nth term of quadratic and cubic sequences step by step from a difference table, explore exponential sequences and simple combinations, and solve direct and inverse proportion problems with squares, cubes and roots.

IGCSE Mathematics 0580, topics 2.7 and 2.8. Growing patterns, the nth term of linear sequences, quadratic and cubic sequences by differences, exponential sequences, and direct and inverse proportion.

Sequences and proportion is a free, browser-based simulation for Cambridge IGCSE Mathematics 0580 (topic 2 Algebra and graphs, sections 2.7 Sequences, 2.8 Proportion (Extended)). The course is assessed in Paper 1 (Core non-calculator), Paper 2 (Extended non-calculator), Paper 3 (Core calculator), Paper 4 (Extended calculator). Syllabus for examination in 2025-2027. There are 5 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

• 2.7 Sequences. Lessons: Sequences and the nth term, Quadratic, cubic and exponential sequences.
• 2.8 Proportion (Extended). Lessons: Direct and inverse proportion.

Full syllabus map: IGCSE Mathematics 0580 topic 2.

How to use this simulation

1. 1. Patterns.
2. 2. Linear sequences.
3. 3. Quadratic and cubic.
4. 4. Exponential sequences.
5. 5. Proportion.
6. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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