# 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 = 54

Input:N = 10Output:372

**Approach:**

The Nth Term of the given series is:

Nth term of the series[Tex] [/Tex]

Below is the implementation of the above approach as follows:

## 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;` `}` `// Main driver method` `int` `main()` `{` ` ` `// Declaration of number of terms` ` ` `long` `long` `int` `N = 10;` ` ` `// Getting the Nth term` ` ` `cout << getNthTerm(N);` ` ` `return` `0;` `}` |

## 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));` `}` `}` |

## 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` |

## 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` |

## 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` `?>` |

## Javascript

`<script>` `// javascript 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 * Math.pow(N, 2) - 3 * N + 2;` `}` `// driver code` ` ` `// declaration of number of terms` ` ` `let N = 10;` ` ` `// Get the Nth term` ` ` `document.write( getNthTerm(N));` ` ` `// This code contributed by gauravrajput1` `</script>` |

**Output:**

372

Time Complexity:O(logN) because it is using inbuilt pow function

Auxiliary Space:O(1) // As it is using constant variables