WPP#10: Unit L Concepts 9-14: Probability

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WPP#9: Unit L Concepts 4-8: Counting Principles

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SP#6: Unit K Concept 10: Converting Repeating Decimals into Rational Fractions

 

Step 1: Start with the repeating decimal 5.212121... and find the a sub 1 and a sub 2 terms by taking the repeating terms out as chunks, using zeroes as placeholders where necessary.
Step 2: Divide the a sub 2 value by the a sub 1 value to get the ratio.
Step 3: Plug the terms into the summation notation for infinite geometric sums.
Step 4: Plug the terms into our sum formula and simplify.

For this problem, you needed to pay attention to the formulas used. Make sure you use the right ones! If you don't, you will get the wrong answers.

Fibonacci Beauty Ratio Activity

Name: Jesus
Foot to Navel: 109 cm  Navel to top of head: 59 cm  Ratio: 1.847
Navel to chin: 43 cm   Chin to top of head: 22 cm    Ratio: 1.955
Knee to navel: 57 cm   Foot to knee: 52 cm               Ratio: 1.09
Average: 1.631

Name: Leslie
Foot to Navel: 96 cm    Navel to top of head: 64 cm  Ratio: 1.5
Navel to chin: 45 cm   Chin to top of head: 19 cm      Ratio: 2.368
Knee to navel: 51 cm   Foot to knee: 46 cm               Ratio: 1.109
Average: 1.659

Name: Sammy
Foot to Navel: 100 cm  Navel to top of head: 68 cm  Ratio: 1.471
Navel to chin: 49 cm    Chin to top of head: 24 cm    Ratio: 2.042
Knee to navel: 50 cm   Foot to knee: 48 cm               Ratio: 1.142
Average: 1.518

Name: Vivian
Foot to Navel: 104 cm  Navel to top of head: 68 cm  Ratio: 1.529
Navel to chin: 47 cm    Chin to top of head: 21 cm    Ratio: 2.238
Knee to navel: 58 cm   Foot to knee: 50 cm               Ratio: 1.16
Average: 1.642

Name: Christine
Foot to Navel: 98 cm    Navel to top of head: 59 cm  Ratio: 1.661
Navel to chin: 38 cm    Chin to top of head: 21 cm    Ratio: 1.809
Knee to navel: 50 cm   Foot to knee: 48 cm               Ratio: 1.042
Average: 1.504

The Golden Ratio is a number that is found using the numbers in the Fibonacci series. It is used to determine mathematical beauty by analysing proportions. The person closest to the Golden Ratio of 1.618 was Jesus, who had an average of 1.631.
In my opinion, the Beauty Ratio is potentially useful for mathematical purposes. It can also be good for artistic purposes. However, it shouldn't be taken as a real life standard.