# 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

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: Feeling lost in the world of random DSA topics, wasting time without progress? It's time for a change! Join our DSA course, where we'll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 geeks!