Fibonacci numbers can be found in many places in nature, for example, the number of petals in a daisy, the number of spirals in
a pine cone or a pineapple, and even the way branches grow on a tree. Find an example of something natural where you can see a Fibonacci number in action, and sketch it here.
1 answer:
Answer: The Fibonacci sequence is a numerical pattern that can appear in many living things. It was first described in the 12th century by the Italian Leonardo Finonacci.
It is an infinite sequence that begins with 0 and 1. The sequence is completed with the sum of the previous 2 numbers.
Following this logic, we can assemble the sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 and so on.
This sequence is very common in nature and can be observed in many living things, such as insects, plants, the human face, even a chameleon's tail.
For example in a shell.
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Given:
The equations of parabolas in the options.
To find:
The steepest parabola.
Solution:
We know that, if a parabola is defined as
Then, the greater absolute value of n, the steeper the parabola.
It can be written as
where , the smaller absolute value of p, the steeper the parabola.
Now, find the value of |p| for eac equation
For option A,
For option B,
For option C,
For option D,
Since, the equation is option A has smallest value of |p|, therefore, the equation represents the steepest parabola.
Hence, the correct option is A.