Python I have to create a code like in the pictures. Can you help me

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Python

I have to create a code like in the pictures. Can you help me?

The output of your solution should be a graph, as shown in Figure 2-18.
Ratio between consecutive Fibonacci numbers
2.2
2.0
1.8
1.6
1.4
1.2
1.0
20
40
60
80
100
No.
X=69.2308
y=1.66122
Figure 2-18: The ratio between the consecutive Fibonacci numbers approaches the
golden ratio.
Ratio
Transcribed Image Text:The output of your solution should be a graph, as shown in Figure 2-18. Ratio between consecutive Fibonacci numbers 2.2 2.0 1.8 1.6 1.4 1.2 1.0 20 40 60 80 100 No. X=69.2308 y=1.66122 Figure 2-18: The ratio between the consecutive Fibonacci numbers approaches the golden ratio. Ratio
#5: Exploring the Relationship Between the Fibonacci Sequence and the
Golden Ratio
The Fibonacci sequence (1, 1, 2, 3, 5, . . .) is the series of numbers where
the ith number in the series is the sum of the two previous numbers-that
is, the numbers in the positions (i – 2) and (i – 1). The successive num-
bers in this series display an interesting relationship. As you increase the
number of terms in the series, the ratios of consecutive pairs of numbers
are nearly equal to each other. This value approaches a special number
referred to as the golden ratio. Numerically, the golden ratio is the number
1.618033988 . .., and it's been the subject of extensive study in music, archi-
tecture, and nature. For this challenge, write a program that will plot on a
graph the ratio between consecutive Fibonacci numbers for, say, 100 num-
bers, which will demonstrate that the values approach the golden ratio.
You may find the following function, which returns a list of the first n
Fibonacci numbers, useful in implementing your solution:
def fibo(n):
if n == 1:
return [1]
if n == 2:
return [1, 1]
# n > 2
a = 1
b = 1
# First two members of the series
series = [a, b]
for i in range(n):
C = a + b
series.append(c)
a = b
b = c
return series
Transcribed Image Text:#5: Exploring the Relationship Between the Fibonacci Sequence and the Golden Ratio The Fibonacci sequence (1, 1, 2, 3, 5, . . .) is the series of numbers where the ith number in the series is the sum of the two previous numbers-that is, the numbers in the positions (i – 2) and (i – 1). The successive num- bers in this series display an interesting relationship. As you increase the number of terms in the series, the ratios of consecutive pairs of numbers are nearly equal to each other. This value approaches a special number referred to as the golden ratio. Numerically, the golden ratio is the number 1.618033988 . .., and it's been the subject of extensive study in music, archi- tecture, and nature. For this challenge, write a program that will plot on a graph the ratio between consecutive Fibonacci numbers for, say, 100 num- bers, which will demonstrate that the values approach the golden ratio. You may find the following function, which returns a list of the first n Fibonacci numbers, useful in implementing your solution: def fibo(n): if n == 1: return [1] if n == 2: return [1, 1] # n > 2 a = 1 b = 1 # First two members of the series series = [a, b] for i in range(n): C = a + b series.append(c) a = b b = c return series
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