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

• Last Updated : 07 Aug, 2022

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

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

 

## Javascript

 

Output:

27

Time Complexity: O(1)

Auxiliary Space : O(1) because using constant variables

Note: Sum upto n terms of the above series(Sn) is:

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