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# Program to find Nth term of series 9, 23, 45, 75, 113…

• Difficulty Level : Medium
• Last Updated : 15 Mar, 2021

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

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

Examples:

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

Input: 10
Output: 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 ``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;``}`

## 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`

## 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`

## 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)`

## PHP

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## Javascript

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Output:
`113`

Time Complexity: O(1)

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