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Take the sequence;

9,    12,    19,    30,    ...

(1) The first step is always to look at difference between the terms;

9,    12,    19,...

My favourite way to remember whether my answer is positive or negative when I multiply two numbers is to think of the following:

a) If you multiply two numbers with the SAME sign (i.e. tw...

(2 + 3^0.5 )^2 - (2 - 3^0.5 )^2

Firstly we will start by seperating the 2 brackets. This will give us 

1 :      (2+ 3^0.5 )^2

2 :      (2 - 3^0.5 )^2

Too calculate this we need to increase to total amount of money in the bank by 3% year on year for 6 years.

Year 0   £500

Year 1   £500 x 1.03 = £515

Year 2   ...

 A quadratic equation is one that includes x² as the highest power of x. Factorising is achieved in 3 steps. Let’s consider the example x²-3x-3=11) Put the equation into the form...