Assignment regarding the fibonacci sequence and the golden ratio - maths assignemnt

Question 1 (a)<Tab/>The Fibonacci sequence can be achieved from Pascal's triangle by adding up the diagonal rows. Refer to Figure 1.1 Figure 1.1 This is possible as like the Fibonacci sequence, Pascal's triangle adds the two previous (numbers above) to get the next number, the formula if Fn = Fn-1 + Fn-2. Pascal's Triangle is achieved by adding the two numbers above it, so uses the same basic principle. This is why there is …

…using the golden ratio before they were even recording what they knew what it was, and today we still use it in paintings and architecture but through all this time we still don't know why we like to look at it, of course we know all the mathematical reasons why it is special, but not enough about it considering the affect and amazing relationships between it and some of the most beautiful creations in history.