# Program to find the Nth term of the series 0, 5, 14, 27, 44, ……..

Given a number N. The task is to write a program to find the Nth term in the below series:

0, 5, 14, 27, 44 …(Nth Term)

Examples:

Input: N = 4
Output: 27
For N = 4,
Nth term = ( 2 * N * N - N - 1 )
= ( 2 * 4 * 4 - 4 - 1 )
= 27

Input: N = 10
Output: 188


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

Approach: The generalized Nth term of this series:

Nth Term: 2 * N * N - N - 1


Below is the required implementation:

## C++

 // CPP program to find N-th term of the series:  // 0, 5, 14, 27, 44 ...  #include  #include  using namespace std;     // Calculate Nth term of series  int nthTerm(int n)  {      return 2 * pow(n, 2) - n - 1;  }     // Driver code  int main()  {      int N = 4;         cout << nthTerm(N);         return 0;  }

## Java

 // Java program to find N-th term of the series:  // 0, 5, 14, 27, 44 ...  import java.util.*;     class solution  {     // Calculate Nth term of series  static int nthTerm(int n)  {      return 2 *(int)Math.pow(n, 2) - n - 1;  }     // Driver code  public static void main(String arr[])  {      int N = 4;         System.out.println(nthTerm(N));  }  }  //This code is contributed by Surendra_Gangwar

## Python 3

 # Python 3 program to find   # N-th term of the series:  # 0, 5, 14, 27, 44 ...     # Calculate Nth term of series  def nthTerm(n):         return 2 * pow(n, 2) - n - 1    # Driver code  if __name__ == "__main__":      N = 4        print(nthTerm(N))     # This code is contributed   # by ChitraNayal

## C#

 // C# program to find   // N-th term of the series:   // 0, 5, 14, 27, 44 ...   using System;  class GFG   {      // Calculate Nth term of series   static int nthTerm(int n)   {       return 2 * (int)Math.Pow(n, 2) - n - 1;   }      // Driver code   static public void Main ()  {       int N = 4;              Console.Write(nthTerm(N));   }   }      // This code is contributed by Raj

## PHP

 

Output:

27


Time Complexity: O(1)

Note: Sum upto n terms of the above series(Sn) is: Don’t stop now and take your learning to the next level. Learn all the important concepts of Data Structures and Algorithms with the help of the most trusted course: DSA Self Paced. Become industry ready at a student-friendly price.

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