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PROGRAMMING FOR PROBLEM SOLVING LAB : Program 24

A Fibonacci sequence is defined as follows: the first and second terms in the sequence are 0 and 1. Subsequent terms are found by adding the preceding two terms in the sequence. Write a C program to generate the first n terms of the sequence.

Formula: 

let t1, t2,............... tn be terms in fibinacci sequence
t1 = 0, t2 = 1
tn = tn - 2 + tn - 1......... where n > 2

 

Algorithm:

Step 1: Start
Step 2: Read a, b, sum,n values as integers 
Step 3: Set a as 0 and b as 1
Step 4: for counter: 2 to no increment counter by 1 begin
                       sum ← a + b;
                       Print sum a ← b;
                        b ← sum; 
                       end
           Step 5: Stop.


   DF PROGRAM:
#include<stdio.h> 
#include<conio.h>
void main()
{
int a = 0, b = 1, n = 0, i, sum = 0; 
clrscr();
printf("Enter the length of series: \n "); 
scanf("%d", &n);
printf("\n Fibonacci series:\n"); 
printf("%d\t %d", a, b);
for(i = 2; i < n; i++)
{
sum = a + b; 
printf(" \t%d",sum); 
a = b;
b = sum;
}
getch();
}

OUTPUT:

Enter the length of series: 
 8
 Fibonacci series:
0 1 1 2 3 5 8 13

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