**Problem:-**Write A C++ Program To Find Fibonacci Series Or C++ Program For Print Fibonacci Series Or C++ Program For Fibonacci Series With Examples.

**Logic:-**For Print Fibonacci Series We Use Simple Method. As we know that Fibonacci Series is started with Zero (0) and next Element is One Then we add previous two elements and print next element of Fibonacci Series.This process repeats up to n times, suppose you want to print a Fibonacci series up to 5 terms then you need to repeat this process up to 5 times and so on.

**Explanation:-**Fibonacci Series start with Zero and next element is one then first we print 0 and 1. Now add two previous elements and print then next element is 0+1=1. repeat the process again and again until you get your answer.

0+1=1

1+1=2

1+2=3

2+3=5

3+5=8

5+8=13

8+13=21

13+21=34. . . .

Done.

**Fibonacci Series:-**In mathematics, the Fibonacci numbers are the numbers in the following integer sequence, called the Fibonacci sequence, and characterized by the fact that every number after the first two is the sum of the two preceding ones.

**Fibonacci Series :-**1 ,1 ,2 ,3 ,5 ,8 ,13 ,21 ,34.

Often, especially in modern usage, the sequence is extended by one more initial term.

**Fibonacci Series :-**0 ,1 ,1 ,2 ,3 ,5 ,8 ,13 ,21 ,34.

The Fibonacci numbers occur in the sums of "shallow" diagonals in

**Pascal's triangle**see in the given picture

source=wikipedia

**Important Fact about Fibonacci Series:-**'The 'Golden Ratio' or Phi' of any two consequent numbers of the sequence in Fibonacci Series is 1.618 or 1.6 (approx) Except starting 4 terms.

**Example:-**The first 21 Fibonacci numbers Fn for n = 0, 1, 2, …, 20 are given below.

**Fibonacci Series :-**0 ,1 ,1 ,2 ,3 ,5 ,8 ,13 ,21 ,34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765.

3 / 2 = 1.500

5 / 3 = 1.667

8 / 5 = 1.600

13 / 8 = 1.625

21 / 13 = 1.615

34 / 21 = 1.619

55 / 34 = 1.617

89 / 55 = 1.618

144 / 89 = 1.618

233 / 144 = 1.618

377 / 233 = 1.618

610 / 377 = 1.618

987 / 610 = 1.618

1597 / 987 = 1.618

2584 / 1597 = 1.618

4181 / 2584 = 1.618

6765 / 4181 = 1.618

**Solution:-**

#include<iostream>

using namespace std;

int main()

{

int a=0,b=1,i,n,c;

cout<<"Enter The Number \n\n"; //Enter the number of terms

cin>>n;

cout<<"\nFibonacci Series Is \n\n"; //Fibonacci Series Is given below

cout<<a<<" "<<b<<" ";

for(i=0;i<n;i++)

{

c=a+b; //here adding two previous value

cout<<c<<" ";

a=b; //swap the value

b=c; //here first two value result stored in 'b'

} //Loop end.

cout<<"\n";

return 0;

}

**Output:-**

**You May Also Like:-**

1. C Program to Display Fibonacci Series Using While Loop.

2. C++ Program To Find Large Fibonacci Series.

3. C Program to Display Fibonacci Series Using While Loop.

4. C++ Program To Fibonacci Series Using Functions.

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