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← Sequences

Main Notes · Grade 10 · 23 pages · PDF

SequencesMain Notes

The full notes: one idea per page, a worked example beside every rule.

A complete 22-page IGCSE guide to sequences. It starts with term-to-term and position-to-term rules, then teaches finding the nth term of linear sequences, including from two given terms. It then covers quadratic sequences using second differences, and geometric sequences with a common ratio, including a depreciation example. It also covers the special sequences students must recognise (square, cube and triangular numbers, Fibonacci and powers of 2), and a method for identifying any sequence type. The final section uses the nth term to find terms, test whether a number is in a sequence, and solve problems in context. Every method comes with step-by-step worked examples and checks. It ends with a formula summary and exam tips.

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