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
Published on 11-Jul-2018 06:52:24
