# Program to find Nth term of series 4, 14, 28, 46, 68, 94, 124, 158, …..

• Last Updated : 20 Aug, 2022

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

4, 14, 28, 46, 68, 94, 124, 158…..(N Terms)

Examples:

```Input: N = 4
Output: 46
For N = 4
4th Term = ( 2 * 4 * 4 + 4 * 4 - 2)
= 46

Input: N = 10
Output: 237```

Approach: The generalized Nth term of this series:

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Below is the required implementation:

## C++

 `// CPP program to find the N-th term of the series:``// 4, 14, 28, 46, 68, 94, 124, 158, .....``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `2 * ``pow``(n, 2) + 4 * n - 2;``}` `// Driver code``int` `main()``{``    ``int` `N = 4;` `    ``cout << nthTerm(N) << endl;` `    ``return` `0;``}`

## Java

 `// Java program to find the N-th term of the series:``// 4, 14, 28, 46, 68, 94, 124, 158, .....``import` `java.util.*;` `class` `solution``{`` ` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{` `    ``return` `2` `*(``int``)Math.pow(n, ``2``) + ``4` `* n - ``2``;` `}` `//Driver code``public` `static` `void` `main(String arr[])``{``    ``int` `N = ``4``;` `   ``System.out.println(nthTerm(N));``}``}` `//This code is contributed by Surendra_Gangwar`

## Python3

 `# Python3 program to find the``# N-th term of the series:``# 4, 14, 28, 46, 68, 94, 124, 158, .....` `# calculate Nth term of series``def` `nthTerm(n):` `    ``return` `2` `*` `pow``(n, ``2``) ``+` `4` `*` `n ``-` `2` `# Driver code``N ``=` `4``print``(nthTerm(N))` `# This code is contributed by``# Sanjit_Prasad`

## C#

 `// C# program to find the``// N-th term of the series:``// 4, 14, 28, 46, 68, 94, 124, 158, .....``using` `System;` `class` `GFG``{` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ``return` `2 * (``int``)Math.Pow(n, 2) +``                             ``4 * n - 2;``}` `// Driver Code``public` `static` `void` `Main()``{``    ``int` `N = 4;``    ``Console.Write(nthTerm(N));``}``}` `// This code is contributed``// by Sanjit_Prasad`

## PHP

 ``

## Javascript

 ``

Output:

`46`

Time Complexity: O(1), since there is no loop or recursion.

Space Complexity: O(1) since using constant variables

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