Today we extended our knowledge from sequences to series. Series is just another word for the total sum of a sequence. Be sure that you have the equations for these topics on your chart that was given out last week.
Coming up:
- Homework: The front of the "Arithmetic Series" worksheet that was given out today. You should also respond to the posting for points question dealing with Fibonacci numbers.
- Tomorrow is the last day to make up the Test from Friday.
Posting for Points:
Give two facts about Fibonacci numbers. What are they? How do we find them? Where do they exist? Why are they important? (Use these questions to guide your search and please do not copy the other posts. Find something original.)
Tuesday, October 9, 2007
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Fibonacci numbers are numbers in an infinite series whose first two numbers are one and one and each next term is found by adding the two previous integers together. They are found in nature, like the sprials in shells, or the pinecone's arrangement. They are important because they are related to the Golden Ratio.
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144,
Vitruvian man rocks
Fibonacci numbers are numbers that never end and how we find them is add the two preceding numbers by themselves such as 0,1,1,2,3,5,8
two examples of the fibonacci is sunflowers and the golden ratio.
Fibonacci numbers form a sequence defined by a recurrence relation that states that after two starting values, each number is the sum of the two preceding numbers. They exist in nature, in spirals and shells, and are also found in tiling squares whose sides are successive Fiobnacci numbers in length. They are important because they are related to the Golden Ratio.
they are found in spirals and are number that after two starting values, each number is the sum of the two preceding numbers
The Fibonacci numbers are named after Leonardo De Pisa, also known as Fibonacci. The fibonacci sequence was originally found in India, but Fibonacci perfected it and took it as his own. It was used to consider the growth of unrealistic or idealized populations such as rabbits or bees.
Fibonacci numbers are connected with nature as seen in sandollars and pinecones. Fibonacci first introduced them in his book Liber abaci and they are a sequence in which you add the last two numbers to get the next.
An example of the fibonacci sequence would be rabbits dividing and multiplying. Many shapes are spirals and another example would be F(1)= 1 F(2)=1 F(n)=F(n-1)+ F(n-2) etc.
fibonacci numbers are numbers in a series that are found by adding the 2 previous numbers together. found in spirals
A series of whole numbers in which each number is the sum of the two preceding numbers. Beginning with 0 and 1, the sequence of Fibonacci numbers would be 0,1,1, 2, 3, 5, 8, 13, 21, 34, etc
No even Fibonacci number is next to another even Fibonacci number... the number of petals on a flower is often one of the Fibonacci numbers
Fibonacci Number are a series of numbers that start with two numbers and then add the sum of the two preceding numbers. Can find them in right triangles. They exist in bees and eggs too. They are important because you can use the right code to figure out about the life of animals or just find out why things look like they do; examples sunflowers,and rabbits.
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