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

3, 7, 13, 21, 31, …….

**Examples:**

Input:N = 4Output:21Explanation:Nth term = (pow(N, 2) + N + 1) = (pow(4, 2) + 4 + 1) = 21Input:N = 11Output:133

**Approach:**

Subtracting these two equations we get

Therefore, the Nth Term of the given series is:

Below is the implementation of the above approach:

`// CPP program to find the Nth term of given series. ` `#include <iostream> ` `#include <math.h> ` `using` `namespace` `std; `
` ` `// Function to calculate sum ` `long` `long` `int` `getNthTerm(` `long` `long` `int` `N) `
`{ ` ` ` `// Return Nth term `
` ` `return` `(` `pow` `(N, 2) + N + 1); `
`} ` ` ` `// driver code ` `int` `main() `
`{ ` ` ` `// declaration of number of terms `
` ` `long` `long` `int` `N = 11; `
` ` ` ` `// Get the Nth term `
` ` `cout << getNthTerm(N); `
` ` ` ` `return` `0; `
`} ` |

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`// Java code to find the Nth term of given series. ` `import` `java.util.*; `
` ` `class` `solution `
`{ ` ` ` `// Function to calculate sum ` `static` `long` `getNthTerm(` `long` `N) `
`{ ` ` ` ` ` `// Return Nth term `
` ` `return` `((` `int` `)Math.pow(N, ` `2` `) + N + ` `1` `); `
`} ` ` ` `//Driver program ` `public` `static` `void` `main(String arr[]) `
`{ ` ` ` ` ` `// declaration of number of terms `
` ` `long` `N = ` `11` `; `
` ` ` ` `// Get the Nth term `
` ` `System.out.println(getNthTerm(N)); `
` ` `} ` `} ` `//THis code is contibuted by ` `//Surendra_Gangwar ` |

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`# Python3 Code to find the ` `# Nth term of given series. ` ` ` `# Function to calculate sum ` `def` `getNthTerm(N): `
` ` ` ` `# Return Nth term `
` ` `return` `(` `pow` `(N, ` `2` `) ` `+` `N ` `+` `1` `) `
` ` `# driver code ` `if` `__name__` `=` `=` `'__main__'` `: `
` ` `# declaration of number of terms ` ` ` `N ` `=` `11`
` ` `# Get the Nth term ` ` ` `print` `(getNthTerm(N)) `
` ` `# This code is contributed by ` `# Sanjit_Prasad ` |

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`// C# code to find the Nth ` `// term of given series. ` `using` `System; `
` ` `class` `GFG `
`{ ` ` ` `// Function to calculate sum ` `static` `long` `getNthTerm(` `long` `N) `
`{ ` ` ` `// Return Nth term ` ` ` `return` `((` `int` `)Math.Pow(N, 2) + N + 1); `
`} ` ` ` `// Driver Code ` `static` `public` `void` `Main () `
`{ ` ` ` ` ` `// declaration of number `
` ` `// of terms `
` ` `long` `N = 11; `
` ` ` ` `// Get the Nth term `
` ` `Console.Write(getNthTerm(N)); `
`} ` `} ` ` ` `// This code is contibuted by Raj ` |

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`<?php ` `// PHP program to find the ` `// Nth term of given series ` ` ` `// Function to calculate sum ` `function` `getNthTerm(` `$N` `) `
`{ ` ` ` `// Return Nth term `
` ` `return` `(pow(` `$N` `, 2) + ` `$N` `+ 1); `
`} ` ` ` `// Driver code ` ` ` `// declaration of number of terms ` `$N` `= 11; `
` ` `// Get the Nth term ` `echo` `getNthTerm(` `$N` `); `
` ` `// This code is contributed by Raj ` `?> ` |

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**Output:**

133

**Time Complexity:** O(1)

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