Introduction:
The Fibonacci sequence is a series of numbers where a number is the sum of the two preceding numbers. The sequence starts with 0 and 1, and the subsequent terms are calculated by adding the two previous terms. In mathematical terms, the Fibonacci sequence is illustrated as:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, …
In this article, we will discuss how to generate the Fibonacci sequence using the for loop in Python. With code examples, we will talk about the different methods used to generate the Fibonacci sequence using a for loop in Python.
Python Fibonacci Sequence For Loop:
Python provides a loop control statement called "for loop" that is used to iterate over a sequence. The for loop in Python is used to repeat a task over a range of values. A range function in Python is generally used with the for loop to iterate over a sequence of numbers.
The following is a Fibonacci sequence using for loop Python code example.
# Fibonacci sequence using for loop
nTerms = int(input("Enter the number of terms: "))
# Initializing the first two terms.
n1, n2 = 0, 1
count = 0
# Check if the number of terms is valid.
if nTerms <= 0:
print("Please enter a positive integer")
elif nTerms == 1:
print("Fibonacci sequence up to", nTerms, ":")
print(n1)
else:
print("Fibonacci sequence:")
while count < nTerms:
print(n1)
nth = n1 + n2
# Update the values of n1 and n2.
n1 = n2
n2 = nth
count += 1
The above code will ask the user to enter the number of terms they want to generate for the Fibonacci sequence. The program then initializes the first two values, i.e. n1 and n2 as 0 and 1, respectively. The "count" variable is initialized as 0.
The first two "if" statements are used to check whether the entered number of terms is valid or not. The first "if" statement checks if the entered value is negative or zero. If the value is negative or zero, it will ask the user to enter a positive integer. The second "if" statement checks if the entered value is 1. If the entered value is 1, it will print n1, which is 0.
The "else" statement is used to print the Fibonacci sequence by using the "while" loop. The condition "count < nTerms" checks if the count is less than the entered number of terms or not. If the condition is true, it will print the value of n1, and then the variable "nth" is assigned the value of n1 + n2.
In the next line, we update the value of n1 and n2, and the "count" variable is incremented by 1. This process repeats until the count is less than the entered number of terms. Once, the "while" loop terminates, the program prints the Fibonacci sequence.
The output of the above code for the first 20 terms of the Fibonacci sequence will be:
Enter the number of terms: 20
Fibonacci sequence:
0
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
Alternative Python Codes To Generate Fibonacci Sequence:
We can also generate Fibonacci sequence using other methods rather than the for loop in Python. Following are two other methods to generate Fibonacci sequence:
- Using Recursion
Python is well-known for being an excellent language for recursive programming. We can use recursion to generate the Fibonacci sequence by passing the term number as a parameter to a function that returns the term value. The following is a Fibonacci sequence using a recursive approach.
def fibonacci(n):
if n <= 1:
return n
else:
return(fibonacci(n-1) + fibonacci(n-2))
nTerms = int(input("Enter the number of terms: "))
# Check if the number of terms is valid.
if nTerms <= 0:
print("Please enter a positive integer")
else:
print("Fibonacci sequence:")
for i in range(nTerms):
print(fibonacci(i))
The output of the above code for the first 20 terms of the Fibonacci sequence will be:
Fibonacci sequence:
0
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
- Using List Comprehension
Another way to generate the Fibonacci sequence in Python is to use list comprehension. List comprehension is a simple way of creating a list from an iterable, such as a range of numbers. The following is a Fibonacci sequence using list comprehension.
nTerms = int(input("Enter the number of terms: "))
# Check if the number of terms is valid.
if nTerms <= 0:
print("Please enter a positive integer")
elif nTerms == 1:
print("Fibonacci sequence up to", nTerms, ":")
print(0)
else:
fib = [0, 1]
[fib.append(fib[i-1] + fib[i-2]) for i in range(2, nTerms)]
print("Fibonacci sequence:")
[print(fib[i]) for i in range(nTerms)]
The output of the above code for the first 20 terms of the Fibonacci sequence will be:
Enter the number of terms: 20
Fibonacci sequence:
0
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
Conclusion:
In this article, we have discussed how to generate the Fibonacci sequence using for loop in Python. We have provided several code examples to help you understand how it can be done. We have also discussed how the for loop in Python can be used to repeat a task over a range of values. Furthermore, we have gone through two other methods, i.e., recursion and list comprehension, to generate the Fibonacci sequence in Python. Overall, we hope that this article has provided you with some useful insights into generating the Fibonacci sequence using for loop in Python.
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Popular questions
Sure, here are 5 questions related to the topic 'python fibonacci sequence for loop with code examples' along with their answers:
Q1. What is the Fibonacci sequence in Python?
A: The Fibonacci sequence in Python is a series of numbers where each number is the sum of the two preceding numbers. The sequence starts with 0 and 1, and the subsequent terms are calculated by adding the two previous terms.
Q2. What is the difference between the for loop and the while loop in Python?
A: The for loop is used when we want to iterate over a sequence, whereas the while loop is used when we want to repeat a task until a certain condition is met.
Q3. What is the output of the Fibonacci sequence program for the first 20 terms?
A: The output of the Fibonacci sequence program for the first 20 terms is:
0
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
Q4. Can we use recursion to generate the Fibonacci sequence in Python?
A: Yes, we can use recursion to generate the Fibonacci sequence in Python. We can define a function that takes the term number as a parameter and returns the term value by adding the two preceding terms.
Q5. What is list comprehension in Python?
A: List comprehension in Python is a concise way of creating a list from an iterable, such as a range of numbers. It is a single line of code that quickly generates a new list by performing some operation on each item in the iterable. In this case, we can use list comprehension to generate the Fibonacci sequence in Python.
Tag
Fibonacci
