Let us consider the numbers as 0,1 of the Fibonacci sequence python. The rest of the series can be derived by adding the preceding two numbers together. This means that to find the Fibonacci series of the nth number, you will need the sum of (n-1) and (n-2) terms. Example: The Fibonacci sequence python is as follows 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.
How do you write a Fibonacci Sequence in Python?
To find the Fibonacci sequence python, use the following methods:
Method 1: Using recursion
Method 2: Using Dynamic Programming
Method 3: Using Space Optimized technique
Method 4: Using Arrays
Is there a Fibonacci Function in Python?
To find the Fibonacci sequence python, we can use the recursive function. The recursive function in Python allows us to print the n-series in Python.
Source Code:
def FibRec(a):
if a <= 1:
return a
else:
return(FibRec(a-1) + FibRec(a-2))
aterms = int(input("Enter the terms? "))
if aterms <= 0:
print("Please enter a positive integer")
else:
print("Fibonacci sequence:")
for z in range(aterms):
print(FibRec(z))
Output:
Enter the terms?
5
0 1 1 2 3
How do you find the nth Fibonacci Number in Python?
As discussed above, there are four methods to find the nth Fibonacci number in Python. Let us discuss the four methods used to find the Fibonacci series in detail:
Method 1 ( Use recursion ) :
def Fibo(a):
if a<= 0:
print("Incorrect input")
#First Fibo number is 0.
elif a == 1:
return 0
# Second Fibo number is 1
elif a == 2:
return 1
else:
return Fibo(a-1)+Fibo(a-2)
# Driver Program
print(Fibo(0))
Method 2- Using Dynamic Programming:
FiboArray = [0, 1]
def fibonacci(n):
if a<0:
print("Incorrect input")
elif a<= len(FiboArray):
return FiboArray[a-1]
else:
t_fib = fibonacci(a-1)+fibonacci(a-2)
FiboArray.append(t_fib)
return t_fib
# Driver Program
print(fibonacci(9))
Output:
21
Method 3- Using Dynamic Programming with Space Optimization
# The first Fibonacci number is 0 and the second Fibonacci number is 1
def fibo(z):
a = 0
b = 1
if z < 0:
print("Incorrect input")
elif z == 0:
return a
elif z == 1:
return b
else:
for x in range(2, z):
c = a + b
a = b
b = c
return b
# Driver Program
print(fibonacci(9))
Output:
21
Using Arrays:
def fibo (a):
if a<= 0:
return "Incorrect Output"
data = [0, 1]
if a > 2:
for x in range (2, a):
data.append(data[x-1] + data[x-2])
return data[n-1]
# Driver Program
print(fibonacci(9))
Output:
21
How do you write a Fibonacci Series for a loop in Python?
In Python, loops allow us to execute a group of statements repeatedly. Look at the source code discussed below:
Source Code:
i=int(input("Enter the terms"))
first=0
second=1
if i<=0:
print("The requested series is
",first)
else:
print(first,second,end=" ")
for x in range(2,i):
n=first+second
print(n,end=" ")
first=second
second=n
Output: Enter the terms
5
0
1
1
2
3
Leave a Reply