Non-linear sequences can be seen in nature. The number of petals on many flowers and the branches of trees grow in a ‘Fibonacci sequence’. This is a naturally occurring pattern where the ...

Learn other sequences including square numbers and the Fibonacci sequence. ... The first five triangular numbers are 1, 3, 6, 10, 15. numbers can be shown by drawing dots that form triangles.

We still use the terms ‘square numbers‘ and ‘triangular numbers’ even to this day. This shows the impact of Pythagoras’ ideas. Why was the number three special to Pythagoras? Of all the numbers, ...