Fibonacci sequence program written in C language
Sep 05, 2023 pm 06:53 PMGiven 'n' numbers, the task is to generate the Fibonacci sequence from 0 to n, where the Fibonacci sequence of integers has the form
0, 1, 1, 2, 3, 5, 8, 13, 21, 34
Among them, the integers 0 and 1 will have fixed spaces, and then add two digits, for example,
After translating the original text into Chinese, retain the HTML code as follows:Among them, the integers 0 and 1 will have fixed spaces, and then add two digits, for example,
0+1=1(3<sup>rd</sup> place) 1+1=2(4<sup>th</sup> place) 2+1=3(5<sup>th</sup> place) and So on
The sequence F of the Fibonacci sequence (n) will have a recurrence relation defined as −.
Fn = Fn-1 + Fn-2 Where, F(0)=0 and F(1)=1 are always fixed
Several methods can be used to generate the Fibonacci sequence −
Recursive method − In this method, the function is called after each integer value itself. It's simple and easy, but results in exponential time complexity, making this approach less efficient.
Using a for loop − By using a for loop to generate the Fibonacci sequence, the time complexity can be reduced to O(n), making this method more efficient.
Example
Input-: n=10 Output-: 0 1 1 2 3 5 8 13 21 34
Algorithm
Start Step 1 -> Declare function for Fibonacci series Void Fibonacci(int n) Declare variables as int a=0,b=1,c,i Print a and b Loop For i=2 and i<n and ++i Set c=a+b Print c Set a=b Set b=c End Step 2 -> In main() Declare int as 10 Call Fibonacci(n) Stop
Example
Chinese translation is:Example
#include<stdio.h> void fibonacci(int n){ int a=0,b=1,c,i; printf("fibonacci series till %d is ",n); printf("</p><p>%d %d",a,b);//it will print 0 and 1 for(i=2;i<n;++i) //loop starts from 2 because 0 and 1 are the fixed values that series will take{ c=a+b; printf(" %d",c); a=b; b=c; } } int main(){ int n=10; fibonacci(n); return 0; }
Output
fibonacci series till 10 is 0 1 1 2 3 5 8 13 21 34
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