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27.Write a Python Program to Display Fibonacci Sequence Using Recursion.py
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27.Write a Python Program to Display Fibonacci Sequence Using Recursion.py
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"""
Fibonacci sequence:
The Fibonacci sequence is a series of numbers in which each number is the sum of the two
preceding ones, usualy starting with 0 and 1. In mathematical terms, it is defined by the
recurrence relation ( F(n) = F(n-1) + F(n-2) ), with initial conditions ( F(0) = 0 ) and ( F(1) = 1
). The sequence begins: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on. The Fibonacci sequence has
widespread applications in mathematics, computer science, nature, and art.
"""
# Python program to display the Fibonacci sequence
def recur_fibo(n):
if n <= 1:
return n
else:
return recur_fibo(n - 1) + recur_fibo(n - 2)
nterms = int(input("Enter the number of terms (greater than 0): "))
# check if the number of terms is valid
if nterms <= 0:
print("Plese enter a positive integer")
else:
print("Fibonacci sequence:")
for i in range(nterms):
print(f'{i+1}th Fibonacci term is ', recur_fibo(i))
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