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Sequences and Series and applications of differentiation
infoWhy this? Sequences and series describe step-by-step patterns, cumulative totals, and limiting behaviour through concise algebraic notation. Applications of differentiation turn techniques into tools for analysing curves, investigating rates of change, and solving optimisation problems.
scheduleWhy now? Year 13 algebra supports the manipulation of sequence formulae and sums, while the study of series provides useful groundwork for generalised binomial expansion. The differentiation laws introduced in the previous unit can now be applied to more complex functions and problems, extending earlier work on stationary points and optimisation.