What you’ll learn4 learning objectivesChoose one objective for a focused lesson, or study the complete topic.1.6.1Binomial expansion• use the expansion of (a + b)n, where n is a positive integer Including the notations n rfp and n!. Knowledge of the greatest term and properties of the coefficients are not required.Syllabus objective1.6.2Progressions• recognise arithmetic and geometric progressionsSyllabus objective1.6.3Progression formulae• use the formulae for the nth term and for the sum of the first n terms to solve problems involving arithmetic or geometric progressions Including knowledge that numbers a, b, c are 'in arithmetic progression' if 2b = a + c (or equivalent) and are 'in geometric progression' if b2 = ac (or equivalent). Questions may involve more than one progression.Syllabus objective1.6.4Geometric convergence• use the condition for the convergence of a geometric progression, and the formula for the sum to infinity of a convergent geometric progression.Syllabus objective