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An arithmetic sequence has a constant difference between each term. For example: 2,4,6,8,10,12,… We can see clearly that all the terms differ by +2. We call this the common difference, d. A geometric sequenc...

Factorising is the process of putting brackets into an equation. Ideally the end equation should be as simple as possible, with the smallest numbers possible. The first step is to find the factor pairs of th...

Let's take the example: 3( x + 2) + 2( x - 1) Start with the first part: 3( x + 2) We have to multiply what is outside of the bracket with the individual things inside the bracket sparately and add them toge...

2x - 6y = 18 4x + 3y = 6 First, make either the x or y the same value by multiplying the equations. Let's choose x. 2x - 6y = 18 x2 4x + 3y = 6 x1 (+)4x - 12y = 36 (+)4x + 3y = 6 Now, we use the rule of 'sam...

For any sequence where there is a common difference (it increases or decreases with the same amount, n, each time) you can find the nth term using the formula: dn+(a-d) "a" is the value of the firs...