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

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:

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 <iostream>` `#include <math.h>` `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

`<?php` `// PHP program to find the` `// N-th term of the series:` `// 4, 14, 28, 46, 68, 94, 124, 158, .....` `// calculate Nth term of series` `function` `nthTerm(` `$n` `)` `{` ` ` `return` `2 * pow(` `$n` `, 2) + 4 * ` `$n` `- 2;` `}` `// Driver code` `$N` `= 4;` `echo` `nthTerm(` `$N` `) . ` `"\n"` `;` `// This code is contributed` `// by Akanksha Rai(Abby_akku)` `?>` |

## Javascript

`<script>` `// JavaScript program to find the N-th term of the series:` `// 4, 14, 28, 46, 68, 94, 124, 158, .....` `// calculate Nth term of series` `function` `nthTerm( n)` `{` ` ` `return` `2 * Math.pow(n, 2) + 4 * n - 2;` `}` `// Driver code` `let N = 4;` ` ` `document.write( nthTerm(N) );` `// This code contributed by gauravrajput1` `</script>` |

**Output:**

46

**Time Complexity:** O(1)

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