Oh man I need to finish my Fibonacci Sequence video for Math.

Oh! I just finished my project. I can explain the Fibonacci sequence for you, if you'd like.

First I will define the Fibonacci numbers. Then I will give you a breif history of where they came from. I'll give you an example of Fibonacci numbers that occur in nature. And lastly, I will demonstrate a problem using a Fibonacci sequence.

First I will define the Fibonacci numbers. Then I will give you a breif history of where they came from. I'll give you an example of Fibonacci numbers that occur in nature. And lastly, I will demonstrate a problem using a Fibonacci sequence.

First I will define the Fibonacci numbers. Then I will give you a breif history of where they came from. I'll give you an example of Fibonacci numbers that occur in nature. And lastly, I will demonstrate a problem using a Fibonacci sequence.

The Fibonacci numbers are the numbers in the above sequence. Definition says that the first two numbers are 0 and 1. Each subsequent number is the sum of the previous two.

Fibonacci Sequence

Leonardo Fibonacci

The Fibonacci sequence is named after Leonardo Fibonacci, an Italian mathematician who was considered the most talented western mathematician of the Middle Ages.

Liber Abaci

His book Liber Abaci introduced the sequence to Western European mathematics, yet the sequence was shown earlier in Indian mathematics.

These numbers are closely related to Lucas numbers. They are a complementary pair of Lucas sequences. They are also connected with the golden ratio.

Lucas Numbers

Lilies

Lilies appear to have six petals. Yet, three are in fact sepals and three are petals. This is a natural occurance of Fibonacci's sequence.

The Fibonacci Sequence equation

The Fibonacci equation is pictured here. Through this equation, F n equals F n minus 1 plus F n minus 2, it is possible to find different numbers within the sequence.

Use of the Fibonacci Sequence in equations

Suppose we are building a wall. We start off with a wall of 0 units of height and 0 units of length. We start building the wall and we have 1 unit of length and 1 of width.

We continue building the wall and still have 1 unit of height and 1 of length. We make more progress and now have 1 unit of height and 2 of length.

Use of Fibaonacci Sequence in equations

Using the Fibonacci sequence, we can deduct that next we will have 3 units of length. After the third unit, we will have 5, and after 8. And so on and so forth.

So, was that enough to make your project?

What did he just say???

Maybe I should just look up this Fibonacci whosey whatsit on wikipedia... Oh his name is Leonardo. Like DiCaprio..The one who didn't win the oscar.. It's okay, Leo... you won an oscar to me... You won an oscar to me..

notepad

Yeah.. I think I took enough notes..