Pearson Edexcel Level 3 GCE Mathematics Advanced PAPER 2: Pure Mathematics 2

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1. In an arithmetic series • the first term is 16 • the 21st term is 24 (a) Find the common difference of the series. (2) (b) Hence find the sum of the first 500 terms of the series. (2) __... ___________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________ 2. The functions f and g are defined by f (x) = 7 – 2x2 x Î  g(x) = 3 5 1 x x − x Î  x ≠ 1 5 (a) State the range of f (1) (b) Find gf(1.8) (2) (c) Find g–1(x) (2) _____________________________________________________________________________________ _____________________________________________________________________________________ ___________________________________ 3. Using the laws of logarithms, solve the equation log3 (12y + 5) – log3 (1 – 3y) = 2 (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _________________ [Show More]

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