# Program to find Nth term of the series 3, 12, 29, 54, 87, …

Given a number N, the task is to find the Nth term of this series:

3, 12, 29, 54, 87, ………….

**Examples:**

Input:N = 4Output:54Explanation:Nth term = 4 * pow(n, 2) - 3 * n + 2 = 4 * pow(4, 2) - 3 * 4 + 2 = 54Input:N = 10Output:372

**Approach:**

The Nth Term of the given series is:

Nth term of the series

Below is the implementation of the above approach:

## C++

`// CPP program to find N-th term of the series: ` `// 3, 12, 29, 54, 87, ... ` ` ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; ` ` ` `// calculate Nth term of series ` `int` `getNthTerm(` `long` `long` `int` `N) ` `{ ` ` ` `// Return Nth term ` ` ` `return` `4 * ` `pow` `(N, 2) - 3 * N + 2; ` `} ` ` ` `// driver code ` `int` `main() ` `{ ` ` ` `// declaration of number of terms ` ` ` `long` `long` `int` `N = 10; ` ` ` ` ` `// Get the Nth term ` ` ` `cout << getNthTerm(N); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find N-th term of the series: ` `// 3, 12, 29, 54, 87, ... ` ` ` `import` `java.util.*; ` `class` `solution ` `{ ` ` ` `static` `long` `getNthTerm(` `long` `N) ` `{ ` ` ` `// Return Nth term ` ` ` `return` `4` `*(` `long` `)Math.pow(N, ` `2` `) - ` `3` `* N + ` `2` `; ` `} ` ` ` `//Driver code ` `public` `static` `void` `main(String arr[]) ` `{ ` `// declaration of number of terms ` ` ` `long` `N = ` `10` `; ` ` ` ` ` `// Get the Nth term ` ` ` `System.out.println(getNthTerm(N)); ` ` ` `} ` `} ` |

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## Python3

`# Python3 program to find N-th term of the series: ` `# 3, 12, 29, 54, 87, ... ` ` ` `# calculate Nth term of series ` `def` `getNthTerm(N): ` ` ` ` ` `# Return Nth term ` ` ` `return` `4` `*` `pow` `(N, ` `2` `) ` `-` `3` `*` `N ` `+` `2` ` ` `# driver code ` `if` `__name__` `=` `=` `'__main__'` `: ` ` ` ` ` `# declaration of number of terms ` ` ` `N ` `=` `10` ` ` ` ` `# Get the Nth term ` ` ` `print` `(getNthTerm(N)) ` ` ` `# This code is contributed by ` `# Sanjit_Prasad ` |

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## C#

`// C# program to find ` `// N-th term of the series: ` `// 3, 12, 29, 54, 87, ... ` `using` `System; ` ` ` `class` `GFG ` `{ ` `static` `long` `getNthTerm(` `long` `N) ` `{ ` ` ` `// Return Nth term ` ` ` `return` `4 * (` `long` `)Math.Pow(N, 2) - ` ` ` `3 * N + 2; ` `} ` ` ` `// Driver code ` `static` `public` `void` `Main () ` `{ ` ` ` ` ` `// declaration of number ` ` ` `// of terms ` ` ` `long` `N = 10; ` ` ` ` ` `// Get the Nth term ` ` ` `Console.Write(getNthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed by Raj ` |

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## PHP

`<?php ` `// PHP program to find ` `// N-th term of the series: ` `// 3, 12, 29, 54, 87, ... ` ` ` `// calculate Nth term of series ` `function` `getNthTerm(` `$N` `) ` `{ ` ` ` `// Return Nth term ` ` ` `return` `4 * pow(` `$N` `, 2) - ` ` ` `3 * ` `$N` `+ 2; ` `} ` ` ` `// Driver code ` ` ` `// declaration of number of terms ` `$N` `= 10; ` ` ` `// Get the Nth term ` `echo` `getNthTerm(` `$N` `); ` ` ` `// This code is contributed ` `// by inder_verma ` `?> ` |

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**Output:**

372

**Time Complexity:** O(1)

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