# Sum of the series 0.6, 0.06, 0.006, 0.0006, …to n terms

Given the number of terms i.e. n. Find the sum of the series 0.6, 0.06, 0.006, 0.0006, …to n terms.

Examples:

Input : 2
Output : 0.65934

Input : 3
Output : 0.665334


## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Lets denote the sum by S:
Using the formula , we have [since r<1]   Hence the required sum is Below is the implementation:

## C++

 // CPP program to find sum of 0.6, 0.06,  // 0.006, 0.0006, ...to n terms  #include  using namespace std;     // function which return the  // the sum of series  float sumOfSeries(int n)  {      return (0.666) * (1 - 1 / pow(10, n));  }     // Driver code  int main()  {      int n = 2;      cout << sumOfSeries(n);  }

## Java

 // java program to find sum of 0.6, 0.06,  // 0.006, 0.0006, ...to n terms  import java.io.*;     class GFG   {      // function which return the      // the sum of series      static double sumOfSeries(int n)      {          return (0.666) * (1 - 1 /Math. pow(10, n));      }                    // Driver code      public static void main (String[] args)       {          int n = 2;          System.out.println ( sumOfSeries(n));                 }  }     // This code is contributed by vt_m

## Python3

 # Python3 program to find   # sum of 0.6, 0.06, 0.006,   # 0.0006, ...to n terms  import math     # function which return   # the sum of series  def sumOfSeries(n):      return ((0.666) *              (1 - 1 / pow(10, n)));     # Driver code  n = 2;  print(sumOfSeries(n));     # This code is contributed by mits

## C#

 // C# program to find sum of 0.6, 0.06,  // 0.006, 0.0006, ...to n terms  using System;     class GFG {             // function which return the      // the sum of series      static double sumOfSeries(int n)      {          return (0.666) * (1 - 1 /Math. Pow(10, n));      }             // Driver code      public static void Main ()       {          int n = 2;                     Console.WriteLine( sumOfSeries(n));                 }  }     // This code is contributed by vt_m

## PHP

 

Output:

0.65934


My Personal Notes arrow_drop_up Intern at GeeksforGeeks

If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.

Please Improve this article if you find anything incorrect by clicking on the "Improve Article" button below.

Improved By : jit_t, Mithun Kumar