Recurrence Relations What do I need to know about recurrence relations? A?recurrence relation?describes each term in a progression as a function of the previous term – ie?un+1?= f(un) Along with th...
Sigma Notation What is sigma notation? The symbol Σ is the capital Greek letter sigma – that's why it's called 'sigma notation'! 'Σ' stands for 'sum' – the expression to the right of the Σ tells yo...
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...
