Program to find Nth term of series 0, 10, 30, 60, 99, 150, 210, 280………..

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

0, 10, 30, 60, 99, 150, 210, 280…..(N Terms)

**Examples:**

Input: N = 4 Output: 60 For N = 4 4th Term = ( 5 * 4 * 4 - 5 * 4) = 60 Input: N = 10 Output: 449

**Approach:** The generalized Nth term of this series:

Below is the required implementation:

## C++

`// C++ program to find the N-th term of the series: ` `// 0, 10, 30, 60, 99, 150, 210, ..... ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// calculate Nth term of series ` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `5 * ` `pow` `(n, 2) - 5 * n; ` `} ` ` ` `// 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: ` `// 0, 10, 30, 60, 99, 150, 210, ..... ` `import` `java.util.*; ` ` ` `class` `solution ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `5` `* (` `int` `)Math.pow(n, ` `2` `) - ` `5` `* n; ` `} ` ` ` `//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: ` `# 0, 10, 30, 60, 99, 150, 210, ..... ` ` ` `# calculate Nth term of series ` `def` `nthTerm(n): ` ` ` ` ` `return` `5` `*` `pow` `(n, ` `2` `) ` `-` `5` `*` `n ` ` ` `# 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: ` `// 0, 10, 30, 60, 99, 150, 210, ..... ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `n) ` `{ ` ` ` `return` `5 * (` `int` `)Math.Pow(n, 2) - 5 * n; ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main() ` `{ ` ` ` `int` `N = 4; ` ` ` `Console.Write(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed ` `// by ChitraNayal ` |

## PHP

`<?php ` `// PHP program to find the ` `// N-th term of the series: ` `// 0, 10, 30, 60, 99, 150, 210,... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$n` `) ` `{ ` ` ` `return` `5 * pow(` `$n` `, 2) - 5 * ` `$n` `; ` `} ` ` ` `// Driver code ` `$N` `= 4; ` ` ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed ` `// by inder_verma ` `?> ` |

**Output:**

60

**Time Complexity:** O(1)

Attention reader! Don’t stop learning now. Get hold of all the important DSA concepts with the **DSA Self Paced Course** at a student-friendly price and become industry ready.