Introduction To Sequences

In this video we’re going to discover some key sequences terminology and how to recognise and generate some important sequences. We will come across all of these key sequences... Arithmetic, Linear, Triangular, Square, Cube, Fibonacci, Quadratic, Geometric. And these key words; Term, 1st term, Common difference, Common ratio. Each number in the sequence is called a term. This just tells us that the sequence carries on forever. Sequences that have a common difference, so the same difference every time, are called arithmetic sequences, or linear sequences. The sequence comes from the pattern of dots needed to make a triangle. Square numbers and cube numbers are also special sequences... This is called the Fibonacci Sequence. You just add up the 2 numbers before to get the next term. There’s a lot you can discover about Fibonacci, such as if you make squares of the Fibonacci sizes, you get a spiral... It’s linked to The Golden Ratio. And is seen throughout nature... So, in arithmetic or linear sequences, it’s called a common difference and in geometric sequences, it’s called a common ratio. So now we know the difference between these sequences... Arithmetic, Linear, Triangular, Square, Cube, Fibonacci, Quadratic, Geometric. And what these key words mean. Term, 1st term, Common difference, Common ratio.