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

Question 1 (a)         The Fibonacci successiveness can be achieved from Pascals trigon by adding up the diagonal rows. Refer to blueprint 1.1 Figure 1.1 This is practical as standardised the Fibonacci sequence, Pascals trigon adds the ii preliminary ( reduces above) to hasten the next number, the manifestation if Fn = Fn-1 + Fn-2. Pascals trilateral is achieved by adding the two numbers above it, so uses the same basic principle. This is wherefore there is a relationship. The mind that it is added diagonally is because of how the numbers argon added down and not across equivalent in the Fibonacci sequence, on the dot it is a lot like the Fibonacci sequence so it makes you moot if the Fibonacci sequence was written let on differently if it would subscribe to all these pattern in it, but its not soften of the assignment to investigate that. It is possible to encounter that it is possible for the Fibonacci sequence to have been created from Pascals triangle as I dont know where the tactual sensation of the Fibonacci sequence was created for but it appears that other number patterns have been created from Pascals triangle so why couldnt it be possible that it was. Of course it whole caboodle the opposite diagonal way as well. (b) i. Powers of 2 has a relationship to Pascals triangle, See App give noticeix 1 at end of assignment for picture. As you can know in the addendum The sum of the row is equal to the powers of 2.

for example Powers of 2                                              Pascals Triangle 2^0         1 2^1      Â Â Â Â 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 amazing as it is saying that the sum of... If you want to get a replete(p) essay, order it on our website: OrderEssay.net

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