Trigonometry - Definitions What is trigonometry? Trigonometry looks at the relationship between side lengths and angles of triangles It comes from the Greek words trigonon meaning ‘triangle’ and me...
Modelling with Sequences & Series What do I need to know about modelling with sequences and series? Many real-life situations can be modelled using sequences and series If a quantity is changin...
Recurrence Relations What do I need to know about recurrence relations? A recurrence relation describes each term in a sequence as a function of the previous term – ie un+1 = f(un) Along with the f...
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 sequence? A sequence is an ordered set of numbers with a rule for finding all the numbers in the sequence The numbers in a sequence are called terms The...
Geometric Series How do I find the sum of a geometric series? A geometric series is the sum of the terms of a geometric sequence The following formulae will let you find the sum of the first n term...
Geometric Sequences What do I need to know about geometric sequences? In a geometric sequence, there is a common ratio between consecutive terms in the sequence You need to know the nth term formul...
Arithmetic Series How do I find the sum of an arithmetic series? An arithmetic series is the sum of the terms of an arithmetic sequence The following formulae will let you find the sum of the first...
Arithmetic Sequences What do I need to know about arithmetic sequences? In an arithmetic sequence, the difference between consecutive terms in the sequence is constant That constant differen...
