Find Nth term of the series 3, 14, 39, 84…

Given a number N. The task is to write a program to find the Nth term in the below series: 

3, 14, 39, 84…

Examples:

Input: 3
Output: 39
For N = 3
Nth term = ( 3*3*3 ) + ( 3*3 ) + 3
         = 39

Input: 4
Output: 84

Formula to calculate the Nth term of the series: 

Nth term = ( N*N*N ) + ( N*N ) + N 

Below is the required implementation: 

C++

// CPP program to find N-th term of the series:
// 3, 14, 38, 84...
#include <iostream>
using namespace std;

// calculate Nth term of series
int nthTerm(int N)
{
    return (N * N * N) + (N * N) + N;
}

// Driver Function
int main()
{
    int N = 3;

    cout << nthTerm(N);

    return 0;
}

Java

// Java program to find Nth number
import java.io.*;

// calculate Nth term of this series
class GFG
{
public int nthTerm(int N)
{
    // By using above formula
    return (N * N * N) + (N * N) + N;
}

// Driver Code
public static void main(String[] args)
{
    int N = 3;
    GFG a = new GFG();

    // call and print Nth term
    System.out.println(a.nthTerm(N));
}
}

Python 3

# Python 3 program to find  N-th
# term of the series:
# 3, 14, 38, 84...

# Function to calculate Nth term of series
def nthTerm(n) :

    return (N * N * N) + (N * N) + N

# Driver code
if __name__ == "__main__" :

     N = 3

     # function calling
     print(nthTerm(N))

# This code is contributed by ANKITRAI1

C#

// C# program to find Nth number
using System;

// calculate Nth term of this series
class GFG
{
public int nthTerm(int N)
{
    // By using above formula
    return (N * N * N) + (N * N) + N;
}

// Driver Code
public static void Main()
{
    int N = 3;
    GFG a = new GFG();

    // call and print Nth term
    Console.WriteLine(a.nthTerm(N));
}
}

// This code is contributed
// by inder_verma.

PHP

<?php
// PHP program to find N-th term
// of the series: 3, 14, 38, 84...

// calculate Nth term of series
function nthTerm($N)
{
    return ($N * $N * $N) +
           ($N * $N) + $N;
}

// Driver Code
$N = 3;

echo nthTerm($N);

// This code is contributed
// by Shivi_Aggarwal
?>

Javascript

<script>

// JavaScriptprogram to find N-th term of the series:
// 3, 14, 38, 84...

// calculate Nth term of series
function nthTerm( N)
{
    return (N * N * N) + (N * N) + N;
}

// Driver Function

    let N = 3;
    document.write(nthTerm(N));

// This code contributed by Rajput-Ji

</script>

Output:

39

Time complexity: O(1) because performing constant operations

Auxiliary Space: O(1)