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

Question 1 (a)         The Fibonacci season back end be achieved from Pascals triangle by adding up the diagonal rows. Refer to auspicate 1.1 Figure 1.1 This is practical as valuate the Fibonacci sequence, Pascals triangle adds the cardinal precedent ( reduces above) to get the next number, the demo if Fn = Fn-1 + Fn-2. Pascals Triangle is achieved by adding the two numbers above it, so uses the same basic principle. This is why there is a relationship. The idea that it is added diagonally is because of how the numbers be added down and not cross panaches equivalent in the Fibonacci sequence, simply it is a lot resembling the Fibonacci sequence so it makes you guess if the Fibonacci sequence was written allow on differently if it would expect all these pattern in it, but its not subtract of the assignment to investigate that. It is practical to encounter that it is possible for the Fibonacci sequence to have been created from Pascals triangle as I dont know where the archetype of the Fibonacci sequence was created for but it appears that separate number patterns have been created from Pascals triangle so why couldnt it be possible that it was. Of course it whole kit and boodle the opposite diagonal way as well. (b) i. Powers of 2 has a relationship to Pascals triangle, See extension 1 at stopping point of assignment for picture. As you can know in the adjunct The marrow of the row is constitute to the powers of 2.

for example Powers of 2                                              Pascals Triangle 2^0         1 2^1         2 2^2         4 2^3         8 2^4         16 Row 1                  1 Row 2                  2 Row 3                  4 Row 4                  8 Row 5                  16 This is frightening as it is saying that the sum of... If you want to get a replete(p) essay, order it on our website: Orderessay

If you want to get a full information about our service, visit our page: How it works.