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Posts tagged with Fibonacci Series

Fibonacci’s Rabbits – breeding like…rabbits

December14

The original problem that Fibonacci investigated (in the year 1202) was about how fast rabbits could breed in ideal circumstances. Suppose a newly-born pair of rabbits, one male, one female, are put in a field. Rabbits are able to mate at the age of one month so that at the end of its second month […]

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Doodling leads to math discoveries

January28

Click on the Fibonacci tag below for more information on this great math subject.

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Using Fibonacci to Easily Expand

April9

Now, you might well ask, how can we use Fibonacci to make our Algebra life easier. Well, here is a really good use which you can use in senior grades (note the pattern of coefficients in the expansion in red – same as the Fibonacci numbers to the left): answer to the 4th expansion will […]

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Mathematics and Art – III

April4

The Golden Ratio, or Golden Number, has been well known for centuries as a pleasing balance of length to height and is seen in nature. Therefore, it is commonly used in Architecture and Art. For mathematicians, this ratio is called Phi: Phi (Φ and φ, pronounced [fī]) is a Greek letter. In mathematics it is used […]

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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