From Paper 1: Pure Mathematics
138 marks
(a) Show that x3 - 3x - 1 = 0 has a root α between 1 and 2.
(b) Use the iteration xn+1 = 3√(3xn + 1) with x0 = 2 to find x1, x2, x3 to 4 decimal places.
(c) Show that α = 1.879 correct to 3 decimal places.
This paper is written by Plasmo in the style of the OCR A-Level Maths exam. It is not a past paper and is not produced or endorsed by the exam board.