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

• Last Updated : 10 Mar, 2021

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 seriesint nthTerm(int n){    return 2 * pow(n, 2) - n - 1;} // Driver codeint 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 seriesstatic int nthTerm(int n){    return 2 *(int)Math.pow(n, 2) - n - 1;} // Driver codepublic 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 seriesdef nthTerm(n):     return 2 * pow(n, 2) - n - 1 # Driver codeif __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 seriesstatic int nthTerm(int n){    return 2 * (int)Math.Pow(n, 2) - n - 1;} // Driver codestatic public void Main (){    int N = 4;         Console.Write(nthTerm(N));}} // This code is contributed by Raj

## PHP

 

## Javascript

 
Output:
27

Time Complexity: O(1)
Note: Sum upto n terms of the above series(Sn) is: Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the Essential Maths for CP Course at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.

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