Fibonacci sequence calculator
Bourbon County High School
For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1. N-Q-2: Define appropriate quantities for the purpose of descriptive modeling. N-RN-1: Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values ...
[DOC File]YEAR 6 SPIRALS PROJECT
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Appendix Fibonacci and the Golden Number. The Fibonacci sequence of numbers can be used to calculate a special number called the golden number. The Greek letter ( (phi) is used to represent the golden number. You will need a calculator to help you to complete the table below. The first few rows have been done for you.
[DOC File]Amanda - Site Index
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Now lets start to look at what the Fibonacci sequence can look like. Fibonacci Spiral. The Fibonacci sequence can be viewed as a spiral by drawing successive Fibonacci-sized squares. Start with a 1 x 1 square in the center of your paper. Beside that square place another 1 x 1 square. Since 1 + 1 = 2, the next square will be a 2 x 2. 1 + 2 is 3.
[DOC File]Chapter 9
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Simplifying Binet’s Formula - Calculator “STO” METHOD: Store key fractions of Formula. Use Binet’s Formula to help compute each of the following values based on Fibonacci Number: F45 = F8*4 = F95/5 = 7F27 = 9.1 Fibonacci Sequence HOMEWORK: Compute each of the following values based on the Fibonacci Sequence: F7 . 3F5 . F5 + F7 . F7 ...
[DOC File]From Fibonacci to Foxtrot:
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We have rediscovered the Fibonacci-like sequence 2, 1, 3, 4, 7, 11, 18, 29, … named for Edouard Lucas (1842-1891). Though this sequence is less well known than the Fibonacci sequence, the Lucas sequence also has many properties of interest (see the concluding section of this article.)
[DOC File]Graphing Sequences and series on a TI-89, TI 92 Plus and a ...
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Graphing Sequences and series on a TI-89, TI 92 Plus and a TI Voyage 200 Calculator. Graph the sequence: Graph the sequence: Graph a recursive sequence like the Fibonacci sequence: Graph the partial sums of the sequence: Graph the partial sums of the sequence: To graph a power series like: To graph a power series like:
[DOC File]Mathematics Enhanced Sample Scope and Sequence
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Use the matrix sequence and a graphing calculator (or computer algebra system) to find the 50th number in the Fibonacci sequence. Teacher’s notes. Finding any number in the Fibonacci sequence is easy if you use matrices, as shown below: Define a matrix A as follows: The first two numbers in the Fibonacci sequence are 1, 1.
[DOC File]MiraCosta College
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From the graph of , for , we can see that the function is bounded above by and bounded below by . Therefore, by Theorem 9.5, is a convergent sequence, since is bounded and monotonic for . Ex. 14: The Fibonacci Sequence. Consider the sequence is defined by with and . This is the Fibonacci Sequence.
[DOC File]The Golden Ratio Lesson Plan
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The teacher should explain Fibonacci sequence and how it relates to the golden ratio and golden rectangles. For example, the teacher should show the students Fibonacci sequence (0,1,1,2,3,5,8,13,21,etc) and explain, or have the students try and figure out the pattern.
[DOCX File]Pembrokeshire Outdoor Schools
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Record on table and use calculator to work out the ratios: Data can be gathered from all flowers measured and examine the Fibonacci sequence. Further learning: Independent research – use a collection of natural objects, e.g. pineapple, cauliflower, to investigate the spiral pattern. Pupils can draw spirals on grid paper using the Fibonacci ...
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