# Find the sum of series 0.X + 0.XX + 0.XXX +… upto k terms

Given a series of k terms, where ‘X’ is any value between 0-9 and ‘k’ is any positive integer. The task is to find the sum of given series:

0.X + 0.XX + 0.XXX +… up to ‘k’ terms

Examples:

```Input: x = 4 , k = 10
Output : 4.39506

Input: x = 9 , k = 20
Output: 19.8889
```

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

Explanation: ## C++

 `// C++ program for sum of the series ` `// 0.x,  0.xx, 0.xxx, ... upto k terms ` `#include ` `using` `namespace` `std; ` ` `  `// function which return the sum of series ` `float` `sumOfSeries(``int` `x, ``int` `k) ` `{ ` `    ``return` `(``float``(x) / 81) * (9 * k - 1 + ``pow``(10, (-1) * k)); ` `} ` ` `  `// Driver code ` `int` `main() ` `{ ` `    ``int` `x = 9; ` `    ``int` `k = 20; ` `    ``cout << sumOfSeries(x, k); ` ` `  `    ``return` `0; ` `} `

## Java

 `// Java program for sum of the series  ` `// 0.x,  0.xx, 0.xxx, ... upto k terms  ` ` `  `public` `class` `GFG { ` `     `  `    ``// function which return the sum of series  ` `    ``static` `float` `sumOfSeries(``int` `x, ``int` `k)  ` `    ``{  ` `       ``float` `y = (``float``) (((``float``)(x) / ``81``) * (``9` `* k - ``1` `+ Math.pow(``10``, (-``1``) * k)));  ` `       ``return` `y ; ` `    ``}  ` `     `  `    ``// Driver code  ` `    ``public` `static` `void` `main (String args[]){ ` `         ``int` `x = ``9``;  ` `         ``int` `k = ``20``;  ` `         ``System.out.println(sumOfSeries(x, k));  ` `    ``} ` ` `  `// This code is contributed by ANKITRAI1 ` `} `

## Python3

 `#Python3 program for sum of series ` `#0.x, 0.xx, 0.xxx, ... upto k terms ` ` `  `#function which return the sum of series  ` `def` `sumOfSeries(x, k): ` `     `  `    ``return` `(``float``(x)``/``81``) ``*` `(``9` `*` `k ``-` `1` `+` `10``*``*``( (``-``1``)``*``k ) ) ` `     `  `#Driver code  ` `if` `__name__``=``=``'__main__'``: ` `    ``x ``=` `9` `    ``k ``=` `20` `    ``print``(sumOfSeries(x, k)) ` `# This code is contributed by Shashank Sharma `

## C#

 `// C# program for sum of the series  ` `// 0.x, 0.xx, 0.xxx, ... upto k terms  ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `// function which return ` `// the sum of series  ` `static` `float` `sumOfSeries(``int` `x, ``int` `k)  ` `{  ` `    ``float` `y = (``float``)(((``float``)(x) / 81) *  ` `              ``(9 * k - 1 + Math.Pow(10, (-1) * k)));  ` `    ``return` `y ; ` `}  ` ` `  `// Driver code  ` `public` `static` `void` `Main () ` `{ ` `    ``int` `x = 9;  ` `    ``int` `k = 20;  ` `    ``Console.Write(sumOfSeries(x, k));  ` `} ` `} ` ` `  `// This code is contributed  ` `// by ChitraNayal `

## PHP

 ` `

Output:

```19.8889
```

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