Geometric sum using recursion in python

View Discussion

Improve Article

Save Article

  • Read
  • Discuss
  • View Discussion

    Improve Article

    Save Article

    Given an integer N, we need to find the geometric sum of the following series using recursion. 
     

    1 + 1/3 + 1/9 + 1/27 + … + 1/[3^n] 
     

    Examples: 
     

    Input N = 5 
    Output: 1.49794
    
    Input: N = 7
    Output: 1.49977

    Approach:
    In the above-mentioned problem, we are asked to use recursion. We will calculate the last term and call recursion on the remaining n-1 terms each time. The final sum returned is the result.
    Below is the implementation of the above approach: 
     

    C++

    #include

    using namespace std;

    double sum[int n]

    {

        if [n == 0]

            return 1;

        double ans = 1 / [double]pow[3, n] + sum[n - 1];

        return ans;

    }

    int main[]

    {

        int n = 5;

        cout

    Chủ Đề