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month from the second month on. The puzzle that ** Fibonacci** posed was how many pairs will there be in one year? When attempting to solve this problem, a pattern is detected:
Figure 1: Recognizing the pattern of the "rabbit problem".
If we were to keep going month by month, the sequence formed would be 1,1,2,3,5,8,13,21 and so on. From here we notice that each new term is the sum of the previous two terms. The set of

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Molly Irvin
Kouba
Math 16A
Exam ID #16
Do Plants Understand Math?: *Fibonacci*** Numbers**, The Golden Ratio, and Their Effect on Phyllotaxis in Nature
The

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The ** Fibonacci** sequence
The

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generally increases more than usual, making it much more difficult for traders to continue driving the price higher or lower.
Round ** Numbers**
Another common characteristic of support/resistance is that an asset's price may have a difficult time moving beyond a round price level such as $50. Most inexperienced traders tend to buy/sell assets when the price is at a whole

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Introduction: The ** Fibonacci** Series
The

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efficiency
class. If you cannot do it, try to prove that, in fact, it cannot be done.
Answer:
∑
2
= n (n + 1) (2n + 1)
6
3. Consider the following algorithm.
Algorithm Secret(A[0..n − 1])
//Input: An array A[0..n − 1] of n real ** numbers**
minval ← A[0]; maxval ← A[0]
for i ← 1 to n − 1 do
if A[i] < minval
minval ← A[i]
if A[i] > maxval
maxval ← A[i]
return maxval − minval
Answer questions a to e of Problem 2 about this algorithm.
Answer:
a) Comparison the range
b) Comparison...

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frame you would like to grab and choose “video” then “snapshot.” The final version of the essay is due on March 1, at 10am in the Catalyst Drop Box.
Guidelines: 1. The key to success is detailed observation. Take your time to watch the sequence a ** number** of times. Choose your shots carefully to support an argument. Look carefully at the screen grabs to discern elements of the mise-en-scene (such as shooting angle, color scheme, composition balance, and more). List to yourself the basic information...

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different ways. Music theorists often use mathematics to understand music, and although music is evidently abstract in modern mathematics, mathematics is “the basis of sound” and sound itself “in its musical aspects exhibits a remarkable array of ** number** properties.” The average person lacking in great knowledge of math and musical theories would not categorize mathematics with music. In actuality, math and music are related, and we use this to describe and teach and learn music without even knowing...

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Study the ** numbers** in the balloons. What patterns do you see in the arrangement of the

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The Golden Ratio
The theory of the Italian mathematician Leonardo Pisano is extremely present today. While he was trying to sort out the ** number** of rabbits that mated in a year, he discovered a series of

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