Program To Generate Fibonacci Series.

➤ FIBONACCI SERIES -
 
The Fibonacci series is a sequence of numbers where each number is the sum of 
the two preceding ones, starting with 0 and 1.
The series goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.
Let's go through the process of solving the Fibonacci series step by step:
 
1. Define the Fibonacci series:
   The Fibonacci series is defined as follows:
   - F(0) = 0
   - F(1) = 1
   - F(n) = F(n-1) + F(n-2) for n >= 2
 
2. Determine the number of terms you want in the series:
   Decide how many terms of the Fibonacci series you want to generate.
 
 Let's say you want to generate the first 10 terms: F(0) to F(9).
 
3. Start with the base cases:
   The first two terms of the Fibonacci series are given: F(0) = 0 and F(1) = 1.
 
4. Calculate subsequent terms:
   Use the formula F(n) = F(n-1) + F(n-2) to calculate the next terms in the series.
  Start with n = 2 and keep calculating until you reach the desired number of terms.
 
   For example, to calculate F(2), we use the formula:
   F(2) = F(1) + F(0) = 1 + 0 = 1
 
   To calculate F(3):
   F(3) = F(2) + F(1) = 1 + 1 = 2
 
   Continue this process until you reach F(9) or the desired number of terms.
 
5. Write the series:
   Now that you have calculated all the terms, write down the Fibonacci series. 
   For the first 10 terms, it will look like this:
   0, 1, 1, 2, 3, 5, 8, 13, 21, 34
 
If you want to generate the Fibonacci series using a program, you can use 
the C program provided in the previous response.
This program uses an iterative approach to calculate the series and 
displays the nth Fibonacci number as output.
 
➤ Program to Print Fibonacci series using C language.
 
#include <stdio.h>
int main() {
 
  int i, n;
 
  // initialize first and second terms
  int t1 = 0, t2 = 1;
 
  // initialize the next term (3rd term)
  int nextTerm = t1 + t2;
 
  // get no. of terms from user
  printf("Enter the number of terms: ");
  scanf("%d", &n);
 
  // print the first two terms t1 and t2
  printf("Fibonacci Series: %d, %d, ", t1, t2);
 
  // print 3rd to nth terms
  for (i = 3; i <= n; ++i) {
    printf("%d, ", nextTerm);
    t1 = t2;
    t2 = nextTerm;
    nextTerm = t1 + t2;
  }
 
  return 0;
}
 
➤ OUTPUT :
 
Enter the number of terms: 8
Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 
 
➤ Program to Print Fibonacci series using Python language.
 
def fibonacci(n):
    if n <= 0:
        return []
    elif n == 1:
        return [0]
    elif n == 2:
        return [0, 1]
    else:
        fib_series = [0, 1]
        for i in range(2, n):   #Here range start at 2 end with n inputs .
            next_term = fib_series[-1] + fib_series[-2]
            fib_series.append(next_term)
        return fib_series
 
n = int(input("Enter the number of terms in the Fibonacci series: "))   #User place any number's
fib_series = fibonacci(n)
print("The Fibonacci series:")
print(fib_series)
 
➤ OUTPUT :
Enter the number of terms in the Fibonacci series: 8
The Fibonacci series:
[0, 1, 1, 2, 3, 5, 8, 13]
 
 
 

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