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

Question 1 (a)         The Fibonacci installment groundwork be achieved from Pascals trigon by adding up the diagonal rows. Refer to telephone number 1.1 Figure 1.1 This is practical as interchangeable the Fibonacci sequence, Pascals triangle adds the ii anterior ( reduces above) to get the next number, the grammatical construction 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 wherefore there is a relationship. The head word that it is added diagonally is because of how the numbers be added down and not cross elbow rooms equivalent in the Fibonacci sequence, barely it is a lot want the Fibonacci sequence so it makes you opine if the Fibonacci sequence was written allow on differently if it would gift all these pattern in it, but its not surgical incision of the assignment to investigate that. It is contingent to encounter that it is possible for the Fibonacci sequence to have been created from Pascals triangle as I dont know where the apprehension of the Fibonacci sequence was created for but it appears that otherwise number patterns have been created from Pascals triangle so why couldnt it be possible that it was. Of course it plant life the opposite diagonal way as well. (b) i. Powers of 2 has a relationship to Pascals triangle, See accessory 1 at rarity of assignment for picture. As you can know in the appendage The centre 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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