Sequences & Series | OCR A A-Level Maths | 40 Worked Examples (H240)

40 fully worked sequences and series questions for OCR A A-Level Mathematics (H240, spec 1.04e-k), every line explained and annotated to the real OCR M/A/B/SC mark scheme. Covers arithmetic sequences and series (nth term and both sum formulae), geometric sequences and series (nth term, finite sum, convergence), the sum to infinity with the |r| < 1 condition, sigma notation, recurrence relations of the form u(n+1) = f(u(n)), increasing, decreasing and periodic sequences, and modelling with compound interest, savings, populations and steady-state doses including inequalities solved with logarithms. Features the classic OCR ‘convergent geometric progression in x’ detailed-reasoning question and the S(n) minus S(n-1) proof that a series is arithmetic. Includes the OCR ‘show detailed reasoning’ style, the 3 significant figure convention and a key-facts box flagging which formulae OCR prints on the paper and which must be recalled. Progressive difficulty from Easy to Challenging. Ideal for revision, homework and cover lessons.