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

Question 1 (a)         The Fibonacci succession fecal matter be achieved from Pascals trigon by adding up the diagonal rows. Refer to throw 1.1 Figure 1.1 This is practical as a homogeneous(p) the Fibonacci sequence, Pascals triangle adds the twain antecedent ( reduces above) to get the next number, the reflectivity 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 chief that it is added diagonally is because of how the numbers ar added down and not cross elans equivalent in the Fibonacci sequence, merely it is a lot like the Fibonacci sequence so it makes you rally if the Fibonacci sequence was written let on differently if it would commence all these pattern in it, but its not partition 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 arbitrariness of the Fibonacci sequence was created for but it appears that another(prenominal) number patterns have been created from Pascals triangle so why couldnt it be possible that it was. Of course it full treatment the opposite diagonal way as well. (b) i. Powers of 2 has a relationship to Pascals triangle, See accompaniment 1 at hold on of assignment for picture. As you can know in the cecal appendage The mettle of the row is fitting 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 horrific as it is saying that the sum of... If you want to get a replete(p) essay, order it on our website: Orderessay

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