What you’ll learn3 learning objectivesChoose one objective for a focused lesson, or study the complete topic.2.6.1Root location• locate approximately a root of an equation, by means of graphical considerations and/or searching for a sign change e.g. finding a pair of consecutive integers between which a root lies.Syllabus objective2.6.2Iterative approximations• understand the idea of, and use the notation for, a sequence of approximations which converges to a root of an equationSyllabus objective2.6.3Iteration formulae• understand how a given simple iterative formula of the form xn + 1 = F(xn) relates to the equation being solved, and use a given iteration, or an iteration based on a given rearrangement of an equation, to determine a root to a prescribed degree of accuracy. Knowledge of the condition for convergence is not included, but an understanding that an iteration may fail to converge is expected.Syllabus objective