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Pure · Sequences & series

Chapter 1 · 3

The idea

Arithmetic sequences and series

Sequences with a constant common difference — the nth-term rule and the sum formula, and where each comes from.

A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.

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Pure · Sequences & series

Arithmetic sequences and series

Sequences with a constant common difference — the nth-term rule and the sum formula, and where each comes from.

Why it works

Same step, every time

A cinema has 1212 seats in row 1, and every row back adds 33 more seats. How many seats are in row 20? You could count row by row — or you could notice the pattern: a fixed start, and the same step repeated. Sequences like this are everywhere (seat rows, savings plans, stacking pipes), and this lesson builds the two formulae that answer every question about them: *what is the nnth term? and what do the first nn terms add up to?*

Keep reading — free

The rest of the explanation, plus 3 worked examples you step through move by move.

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