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Fibonacci Sequence
1. What is the Fibonacci Sequence.
A series of numbers, starting where every number is the sum of the two preceding numbers.
a. Why is nature or the world around us created this way?
It represents structure and sequence.
b. What is the golden ratio and how is it calculated?
1.61803398875; sequence things grow.
c. Hyperlink one article and one YouTube video
https://youtu.be/wTlw7fNcO-0
2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
https://images.app.goo.gl/AUjjGbjeNoQ8PJsu8
a. Explain how human behavior is linked to the Fibonacci Sequence
Human activities depend on many patterns and time.
3. Relate its impact on humanity today.  Why is this so important to know.
The Fibonacci sequence can be found in art, architecture, music, etc.
It is important due to its role in coding theory.

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what is the fibonacci sequence?

a. why is nature or the world around us created this way?

b. what is the golden ratio and how is it calculated?

c. hyperlink one article and one youtube.

2. where can it be seen?

3. explain how human behavior is linked to the fibonacci sequence.

4. relate its impacts on humanity today. why is this so imporant to know.

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Jason Hail

1. What is the Fibonacci Sequence.  A series of numbers in which each number is the sum of the two preceding numbers. The simplest is the series 1, 1, 2, 3, 5, 8, etc.
a. Why is nature or the world around us created this way? The way we perceive ourselves in relation to the rest of the world influences our behaviors and our beliefs. The dynamics of psychology cognition, perception, learning, emotion, attitudes and relationships all play a significant role in how humans see themselves and the many elements in their environment.
b. What is the golden ratio and how is it calculated? You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.
c. Hyperlink one article and one YouTube video
https://plus.maths.org/content/life-and-numbers-fibonacci
https://www.youtube.com/watch?v=wTlw7fNcO-0
2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence. It can be seen anywhere there is a spiral.
a. Explain how human behavior is linked to the Fibonacci Sequence?
3. Relate its impact on humanity today.  Why is this so important to know. The progression of the Fibonacci numbers and ratio are well suited to describing organic growth in the human body because they have the properties of self-similarity and of “gnomonic growth;” that is, only the size changes while the shape remains constant.

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Fibonacci Sequence
1. What is the Fibonacci Sequence.
A series of numbers, starting where every number is the sum of the two preceding numbers.
a. Why is nature or the world around us created this way?
It represents structure and sequence.
b. What is the golden ratio and how is it calculated?
1.61803398875; sequence things grow.
c. Hyperlink one article and one YouTube video
https://youtu.be/wTlw7fNcO-0
2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
https://images.app.goo.gl/AUjjGbjeNoQ8PJsu8
a. Explain how human behavior is linked to the Fibonacci Sequence
Human activities depend on many patterns and time.
3. Relate its impact on humanity today.  Why is this so important to know.
The Fibonacci sequence can be found in art, architecture, music, etc.
It is important due to its role in coding theory.

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1. What is the Fibonacci Sequence.
a series of repeating numbers
2. Where can it be seen?
everywhere
3. Relate its impact on humanity today.  Why is this so important to know. in my opinion it is not that important to know.
LITTLE TO NO DETAIL!! EXPLAIN WHY IT´S NOT IMPORTANT, THANKS!

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1. What is the Fibonacci Sequence.
It's a series of numbers where a number is the addition of the last two numbers, starting with 0, and 1.

a. Why is nature or the world around us created this way?
Because everything has to be explained and everything has to have a pattern.
b. What is the golden ratio and how is it calculated?
It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment
c. Hyperlink one article and one YouTube video https://www.youtube.com/watch?v=SjSHVDfXHQ4

2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
It can be seen in a hurricane. The eye of the storm represents the 0 and then the spiral goes on and on.

a. Explain how human behavior is linked to the Fibonacci Sequence

It is linked because our human behavior is in a sequence of everyday things.

4. Relate its impact on humanity today.  Why is this so important to know.
It impacts humanity because it is in almost everything we do and make. it is used in art, nature, and many other things. It is important to know because it affects our daily activities.

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1. What is the Fibonacci Sequence.
The Fibonacci Sequence is popular math formula.
a. Why is nature or the world around us created this way?
It is because it is a pattern.
b. What is the golden ratio and how is it calculated?
It is the numbers that are in the swirl.
c. Hyperlink one article and one YouTube video
https://www.mathsisfun.com/numbers/fibonacci-sequence.html
https://www.youtube.com/watch?v=wTlw7fNcO-0
2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
It does because as you can see it has the spiral thing .
3. Relate its impact on humanity today.  Why is this so important to know.
It is important because maybe it will help you one day.

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1. The Fibonacci Sequence is a formula that is connected with things in nature and equals 1.618. I feel like it connects many things in nature, I don't understand how that happened, but it does give a  similarity connecting many objects in nature.
Article:
http://www.eniscuola.net/en/2016/06/27/the-numbers-of-nature-the-fibonacci-sequence/
Video:
https://www.youtube.com/watch?v=wTlw7fNcO-0
2. Many things including pineapples, seashells, and spiderwebs have the fibonacci spirals on them. Even animals have the fibonacci sequence on them. One example being the horns of a mountain goat.
4. I feel like its important to know the fibonacci sequence because it realy does connect many things in nature. It connects things by giving them the same spirals and or a number of fibonacci somehow in them. It has much deeper meaning than we understand, and one day we may understand it.

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1. What is the Fibonacci Sequence.
It's a series of numbers where a number is the addition of the last two numbers, starting with 0, and 1.

a. Why is nature or the world around us created this way?
Because everything has to be explained and everything has to have a pattern.
b. What is the golden ratio and how is it calculated?
It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ratio of the longer segment to the shorter segment
c. Hyperlink one article and one YouTube video
https://www.treehugger.com/wonderful-explanation-fibonacci-numbers-nature-4856618

2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
It can be seen in a hurricane. The eye of the storm represents the 0 and then the spiral goes on and on.

3. Draw a Trend Based Fib Extension on a cryptocurrency using Dextools, screen shot and post here on Padlet (Optional: Extra Credit)
a. Explain how human behavior is linked to the Fibonacci Sequence
It is linked because our human behavior is in a sequence of everyday things.

4. Relate its impact on humanity today.  Why is this so important to know.
It impacts humanity because it is in almost everything we do and make. it is used in art, nature, and many other things. It is important to know because it affects our daily activities.

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An Evolutionary Perspective

Nature is not an entity that consciously follows mathematics (flowers are not the smartest.) Instead, it is mathematics that follows nature.

The golden ratio models nature’s way of packing things in the most effective and energy-efficient way. In the case of the sunflower head, and many other species, their arrangement represents the ideal packing of the seeds; there is no crowding in the center and no scarcity on the edges of the head. Similarly, by having a certain number of petals at a certain angle to each other, the flower ensures that each leaf receives an abundant amount of sunlight. It reflects the conclusion of evolution over millions of years, that for a particular species, this is the optimal arrangement of things. The Fibonacci sequence is just one simple example of the resilient and persevering quality of nature.

As we continue to scourge for mathematical patterns in our natural world, our understanding of our universe expands, and the beauty of nature becomes clearer to our human eyes.

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Instructions Present the following information in Padlet
1. What is the Fibonacci Sequence. The Fibonacci Sequence is  a series of numbers in which each number is the sum of the two preceding numbers

a. Why is nature or the world around us created this way
The Fibonacci Sequence models nature’s way of packing things in the most effective and energy-efficient way.

b. The Golden Ratio is the ratio of a line segment cut into different lengths. It is calculated by diving a line into two parts with the longer line divided by the smaller line; it is equal to 1.618.
c. Hyperlink one article and one YouTube video
https://spectramagazine.org/mathematics/the-fibonacci-sequence-in-nature/

https://www.treehugger.com/how-golden-ratio-manifests-nature-4869736

2. Where can it be seen?  Post one example and describe how it relates to the Fibonacci Sequence
It can be seen in a pineapple; many pineapples have either five, eight, thirteen, or twenty-one spirals on them and every one is a Fibonacci number.

3. Draw a Fib retracement on a cryptocurrency using Dextools, screenshot, and post here on Padlet
a. Explain how human behavior is linked to the Fibonacci Sequence
Human behavior is linked to the Fibonacci Sequence because all human activities depend on many patterns and time.

4. Relate its impact on humanity today. Why is this so important to know.
-Fibonacci and phi can be found in certain works of art, architecture, and music; while buying and selling behavior is largely unpredictable, some financial analysts swear they can see these numbers at play there, including in this current economic crisis.

-It is important to know due to its role in coding theory. Without it coding theory would not be able to be done.

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1. The Fibonacci sequence is a famous mathematical formula.
a. The world works this way because it represents structure and sequence
b. The golden ratio, 1.61803398875, is the sequence that things form and grow into  that is pleasing to the eye.
c. https://www.livescience.com/37470-fibonacci-sequence.html
https://www.youtube.com/watch?v=SjSHVDfXHQ4

2. the Fibonacci sequence can be found everywhere in nature like trees, pine cones, meanders, and spider webs. the spider web starts as a small spiral and get bigger to catch different sized prey.

3.The Fibonacci sequence is important because it helps us under stand nature and math better.
Is important that we know the Fibonacci sequence because understanding math helps us under stand nature better.  Math helps us get a better in science, have and get jobs, and to be smart, and being nature smart helps to encase you get stranded.

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Instructions Present the following information in Padlet
1. What is the Fibonacci Sequence.     The Fibonacci Sequence is  a series of numbers in which each number is the sum of the two preceding numbers

a. Why is nature or the world around us created this way
The Fibonacci Sequence models nature’s way of packing things in the most effective and energy-efficient way.

b. Hyperlink one article and one YouTube video
https://spectramagazine.org/mathematics/the-fibonacci-sequence-in-nature/

https://www.treehugger.com/how-golden-ratio-manifests-nature-4869736

2. Where can it be seen?  Post one example and describe how it relates to the Fibonacci Sequence
It can be seen in a pineapple; many pineapples have either five, eight, thirteen, or twenty-one spirals on them and every one is a Fibonacci number.

3. Draw a Fib retracement on a cryptocurrency using Dextools, screenshot, and post here on Padlet
a. Explain how human behavior is linked to the Fibonacci Sequence
Human behavior is related to the Fibonacci Sequence because all human activities depend on many patterns and time.

4. Relate its impact on humanity today. Why is this so important to know.
-Fibonacci and phi can be found in certain works of art, architecture, and music; while buying and selling behavior is largely unpredictable, some financial analysts swear they can see these numbers at play there, including in this current economic crisis.

-It is important to know due to its role in coding theory. Without it coding theory would not be able to be done.

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Fibonacci Sequence:
What is the Fibonacci Sequence? In mathematics, the Fibonacci numbers, commonly denoted Fₙ, form a sequence, called the Fibonacci sequence, such that each number is the sum of the two preceding ones, starting from 0 and 1. That is, and for n > 1.

Why is the nature, or the world around us created this way? The Fibonacci sequence, for example, plays a vital role in phyllotaxis, which studies the arrangement of leaves, branches, flowers or seeds in plants, with the main aim of highlighting the existence of regular patterns.

Website Link:
https://www.investopedia.com/terms/f/fibonaccilines.asp

Youtube Link:
https://www.youtube.com/watch?v=wTlw7fNcO-0

Where can it be seen? We can easily find the numbers of the Fibonacci sequence in the spirals formed by individual flowers in the composite inflorescence of daisies, sunflowers, cauliflowers and broccoli. It can also be found in the fourteen facial bones, six middle ear bones and the throat total 21 bones. ... The base column of human body structure therefore totals 55 (21 + 34 = 55) bones All of these numbers – 1, 2, 3, 5, 8, 13, 21, 34 and 55 – are numbers in the Fibonacci series.

How is human behavior linked to the Fibonacci Sequence?  The Fibonacci Sequence actually helps in getting every design or painting symmetrical and pleasing to the eye. As it turns out our brains are ‘hard-wired’ and when we look at something we unconsciously find the pattern in it. We do not understand when it’s perfect and ‘looks right’ to us but a slight distortion can signal us that ‘something is not right’.

What impact does the Fibonacci Sequence have on humanity today, and why is it important to know?  Fibonacci numbers plays very important role in coding theory. Fibonacci numbers in different forms are widely applied in constructing security coding. The progression of the Fibonacci numbers and ratio are well suited to describing organic growth in the human body because they have the properties of self-similarity and of “gnomic growth;” that is, only the size changes while the shape remains constant.

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It’s everywhere you look, but have you ever heard of the Fibonacci sequence?

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It’s everywhere you look, but have you ever heard of the Fibonacci sequence?

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Instructions
Present the following information in Padlet
1. What is the Fibonacci Sequence.
a. Why is nature or the world around us created this way?
b. What is the golden ratio and how is it calculated?
c. Hyperlink one article and one YouTube video
2. Where can it be seen?  Post one example (picture) and describe how it relates to the Fibonacci Sequence
3. Draw a Trend Based Fib Extension on a cryptocurrency using Dextools, screen shot and post here on Padlet (Optional: Extra Credit)
a. Explain how human behavior is linked to the Fibonacci Sequence
3. Relate its impact on humanity today.  Why is this so important to know.