Language of Sequences & Series What is a progression/sequence? A?progression?(or?sequence) is an?ordered?set of numbers with a rule for finding all the numbers in the progression The numbers in...
Geometric Series How do I find the sum of a geometric progression? The?sum?of the terms of a?geometric progression?is sometimes called a?geometric series The following formulae will let you find th...
Geometric Sequences What do I need to know about geometric progressions? In a?geometric progression?(also called?geometric sequence)?there is a?common ratio?between consecutive terms in the sequenc...
Arithmetic Series How do I find the sum of an arithmetic progression? The?sum?of the terms of an?arithmetic progression?is sometimes called an?arithmetic series The following formulae will let you ...
Arithmetic Sequences What do I need to know about arithmetic progressions? In an?arithmetic progression?(also called?arithmetic sequence), the difference between consecutive terms in the sequence i...
Binomial Expansion What is the binomial expansion? Look at the pattern Start at?nC0, then?nC1,?nC2, etc Powers of?a?start at?n?and decrease by 1 Powers of?b?start at 0 and increase by 1 There are s...
Modelling with Trigonometric Functions Modelling with trigonometric functions Various real-life situations can be modelled using trigonometric functions You need to be able to interpret the equatio...
Strategy for Trigonometric Equations How to approach solving trig equations You can solve trig equations in a variety of different ways Sketching a graph?(see?Graphs of Trigonometric Functions) Usi...
Quadratic Trigonometric Equations Solving quadratic trigonometric equations If an equation involves sin2θ or cos2θ then it is a quadratic trigonometric equation These can be solved by factorising a...
Linear Trigonometric Equations Solving linear trigonometric equations You should have already seen two ways to solve linear trig equations By?sketching the graph?(see Graphs of Trigonometric Functi...
Trigonometry - Simple Identities What is a trigonometric identity? Trigonometric identities are statements that are true for all values of?x?or theta (θ) They are used to help simplify trig equatio...
Trigonometry Exact Values Exact values In trigonometry some values of sin, cos and tan are “nice” For example?sin 30° = ?,?tan 45° = 1 We can find those associated with the angles?30°,?45°?and?60°?...
