Generate Fibonacci Series

The Fibonacci sequence is like this,

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,……

In this sequence, the nth term is the sum of (n-1)'th and (n-2)'th terms.

To generate we can use the recursive approach, but in dynamic programming, the procedure is simpler. It can store all Fibonacci numbers in a table, by using that table it can easily generate the next terms in this sequence.

Input and Output

Input:
Take the term number as an input. Say it is 10
Output:
Enter number of terms: 10
10th fibinacci Terms: 55

Algorithm

genFiboSeries(n)

Input: max number of terms.

Output − The nth Fibonacci term.

Begin
   define array named fibo of size n+2
   fibo[0] := 0
   fibo[1] := 1

   for i := 2 to n, do
      fibo[i] := fibo[i-1] + fibo[i-2]
   done
   return fibo[n]
End

Example

#include<iostream>
using namespace std;

int genFibonacci(int n) {
   int fibo[n+2];          //array to store fibonacci values

   // 0th and 1st number of the series are 0 and 1
   fibo[0] = 0;
   fibo[1] = 1;

   for (int i = 2; i <= n; i++) {
      fibo[i] = fibo[i-1] + fibo[i-2];    //generate ith term using previous two terms
   }
   return fibo[n];
}

int main () {
   int n;
   cout << "Enter number of terms: "; cin >>n;
   cout << n<<" th Fibonacci Terms: "<<genFibonacci(n)<<endl;
}

Output

Enter number of terms: 10
10th Fibonacci Terms: 55