Given a number N, the task is to find the Nth term in the given series:

9, 23, 45, 75, 113, 159......

**Examples:**

Input:4Output:113Explanation:For N = 4 Nth term = ( 2 * N + 3 )*( 2 * N + 3 ) - 2 * N = ( 2 * 4 + 3 )*( 2 * 4 + 3 ) - 2 * 4 = 113Input:10Output:509

**Approach:**

The Nth term of the given series can be generalised as:

Nth term of the series : ( 2 * N + 3 )*( 2 * N + 3 ) - 2 * N

Below is the implementation of the above problem:

**Program:**

## C++

`// CPP program to find N-th term of the series: ` `// 9, 23, 45, 75, 113... ` ` ` `#include <iostream> ` `using` `namespace` `std; ` ` ` `// calculate Nth term of series ` `int` `nthTerm(` `int` `N) ` `{ ` ` ` `return` `(2 * N + 3) * (2 * N + 3) - 2 * N; ` `} ` ` ` `// Driver Function ` `int` `main() ` `{ ` ` ` ` ` `// Get the value of N ` ` ` `int` `N = 4; ` ` ` ` ` `// Find the Nth term ` ` ` `// and print it ` ` ` `cout << nthTerm(N); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java program to find ` `// N-th term of the series: ` `// 9, 23, 45, 75, 113... ` ` ` `class` `GFG ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `N) ` `{ ` ` ` `return` `(` `2` `* N + ` `3` `) * ` ` ` `(` `2` `* N + ` `3` `) - ` `2` `* N; ` `} ` ` ` `// Driver code ` `public` `static` `void` `main(String[] args) ` `{ ` ` ` ` ` `// Get the value of N ` ` ` `int` `N = ` `4` `; ` ` ` ` ` `// Find the Nth term ` ` ` `// and print it ` ` ` `System.out.println(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed by Bilal ` |

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## Python3

`# Python program to find ` `# N-th term of the series: ` `# 9, 23, 45, 75, 113... ` `def` `nthTerm(N): ` ` ` ` ` `# calculate Nth term of series ` ` ` `return` `((` `2` `*` `N ` `+` `3` `) ` `*` ` ` `(` `2` `*` `N ` `+` `3` `) ` `-` `2` `*` `N); ` ` ` `# Driver Code ` ` ` `# Get the value of N ` `n ` `=` `4` ` ` `# Find the Nth term ` `# and print it ` `print` `(nthTerm(n)) ` ` ` `# This code is contributed by Bilal ` |

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## C#

`// C# program to find ` `// N-th term of the series: ` `// 9, 23, 45, 75, 113... ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` `// calculate Nth term of series ` `static` `int` `nthTerm(` `int` `N) ` `{ ` ` ` `return` `(2 * N + 3) * ` ` ` `(2 * N + 3) - 2 * N; ` `} ` ` ` `// Driver code ` `public` `static` `void` `Main() ` `{ ` ` ` ` ` `// Get the value of N ` ` ` `int` `N = 4; ` ` ` ` ` `// Find the Nth term ` ` ` `// and print it ` ` ` `Console.WriteLine(nthTerm(N)); ` `} ` `} ` ` ` `// This code is contributed ` `// by Akanksha Rai(Abby_akku) ` |

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## PHP

`<?php ` `// PHP program to find ` `// N-th term of the series: ` `// 9, 23, 45, 75, 113... ` ` ` `// calculate Nth term of series ` `function` `nthTerm(` `$N` `) ` `{ ` ` ` `return` `(2 * ` `$N` `+ 3) * ` ` ` `(2 * ` `$N` `+ 3) - 2 * ` `$N` `; ` `} ` ` ` `// Driver Code ` ` ` `// Get the value of N ` `$N` `= 4; ` ` ` `// Find the Nth term ` `// and print it ` `echo` `nthTerm(` `$N` `); ` ` ` `// This code is contributed by Raj ` `?> ` |

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**Output:**

113

**Time Complexity:** O(1)

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