# Program to find the Nth term of series 0, 4, 14, 30, 51, 80, 114, 154, 200, …

• Last Updated : 10 Mar, 2021

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

0, 4, 14, 30, 51, 80, 114, 154, 200, …(N Terms)

Examples:

```Input: N = 4
Output: 82
For N = 4
4th Term = ( 4 * 4 - 2 * 4 + 2)
= 10

Input: N = 10
Output: 122```

Approach: The generalized Nth term of this series:

` `

Below is the required implementation:

## C++

 `// CPP program to find the N-th term of the series:``// 5, 10, 17, 26, 37, 50, 65, 82, ...``#include ``#include ``using` `namespace` `std;` `// calculate Nth term of series``int` `nthTerm(``int` `n)``{``    ``return` `pow``(n, 2) - 2 * n + 2;``}` `// Driver Function``int` `main()``{``    ``int` `N = 4;` `    ``cout << nthTerm(N);` `    ``return` `0;``}`

## Java

 `// Java program to find the N-th term of the series:``// 5, 10, 17, 26, 37, 50, 65, 82, ...``import` `java.util.*;` `class` `solution``{` `// calculate Nth term of series``static` `int` `nthTerm(``int` `n)``{``    ` `    ``//return the total sum``    ``return` `(``int``)Math.pow(n, ``2``) - ``2` `* n + ``2``;``}` `//Driver function``public` `static` `void` `main(String arr[])``{``    ``int` `N = ``4``;` `    ``System.out.println(nthTerm(N));` `}` `}`

## Python3

 `# Python3 program to find the N-th``# term of the series:``# 0, 4, 14, 30, 51, 80, 114, 154, 200, …` `# from math lib. import everything``from` `math ``import` `*` `# calculate Nth term of series``def` `nthTerm(n) :``    ` `    ``return` `pow``(n, ``2``) ``-` `2` `*` `n ``+` `2` `        ` `# Driver code    ``if` `__name__ ``=``=` `"__main__"` `:` `    ``N ``=` `4``    ``print``(nthTerm(N))` `# This code is contributed by``# ANKITRAI1`

## C#

 `// C# program to find the``// N-th term of the series:``// 5, 10, 17, 26, 37, 50, 65, 82, ...``using` `System;` `class` `GFG``{` `// calculate Nth term of series``public` `static` `int` `nthTerm(``int` `n)``{` `    ``// return the total sum``    ``return` `(``int``)Math.Pow(n, 2) -``                    ``2 * n + 2;``}` `// Driver Code``public` `static` `void` `Main(``string``[] arr)``{``    ``int` `N = 4;` `    ``Console.WriteLine(nthTerm(N));``}``}` `// This code is contributed``// by Shrikant13`

## PHP

 ``

## Javascript

 ``
Output:
`10`

Time Complexity: O(1)

My Personal Notes arrow_drop_up