Question

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:
1,2,3,5,8,13,21,34,55,89,...
By considering the terms in the Fibonacci sequence whose values do not exceed 1000, find the sum of
the all the terms up to 300.

Answer 1

Fibonacci Sequence:

A series of numbers in which each number is the sum of the two preceding numbers. The actual sequence of numbers will starts from 0 and the second number is 1. But 0+1 is equal to 1, we will not consider the value of 0 in the fibonacci sequence.

According to the given question, we have to find out the fibonacci sequence of numbers upto 300. And we have to add the obtained numbers. Below i am providing the C program according to the given conditions in the question.

Raw Code for the given problem:

#include<stdio.h>
int main()
{
/*these are the variables we use to write the code.
i is to get the fibonacci series and sum of that series using for loop.
n is the number which is used to calculate according to our requirement.
t1 is the starting initialization of the series.
t2 is the next number to be added to obtain the fibonacci series.
nextTerm variable is to find the next term of the series.
*/
int i,n,t1=0,t2=1,nextTerm;
//sum variable is initialized to 0 at first and used to calcute the sum of the fibonacci sequence obtained
int sum=0;
//Asking for the user input for the range that we want
printf("Enter the value for n:");
//Scaning the input that we give to the system.
scanf("%d",&n);
//using for loop for the fibonacci sequence
   for(i=1;t1<=n;i++)
   {
       //Printing the fibonacci numbers upto required range
       printf("%d\n",t1);
       //nextTerm is obtained by adding two of its preceeding numbers
       nextTerm = t1 + t2;
       //Below is the logic to get fibonacci sequence
       t1 = t2;
       t2 = nextTerm;
       //To get the sum of the fibonacci sequence that we obtained.
       sum=sum+t1;
   }
//Printing the fibonacci sequence sum.
printf("The sum of the fibonacci series less than 300 is:%d",sum);
}

Source Code for given problem:

Out put of the above code:

I have explained the entired code using comments in the program. With those the code will understand easily.

                     Hope the above is helpful. Please feel free to comment if any queries in the

                                 comment section. I will try to solve them as soon as possible.

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