# 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 = 4
Output: 54
Explanation:
Nth term = 4 * pow(n, 2) - 3 * n + 2
= 4 * pow(4, 2) - 3 * 4 + 2
= 54

Input: N = 10
Output: 372
```

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

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 ` `#include ` `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; ` `} `

## 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

 ` `

Output:

```372
```

Time Complexity: O(1)

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