Definition of Derivatives What is the derivative of a function? Differentiation is an operation that calculates the rate of change of a function with respect to a variable This means how much the ...
Definition of Gradient What is the gradient of a curve? At a given point the gradient of a curve is defined as the gradient of the tangent to the curve at that point A tangent to a curve is a line ...
Modelling with Sequences & Series What do I need to know about modelling with progressions? Many real-life situations can be modelled using progressions If a quantity is changing repeatedly by ...
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 ...
