Encuentra el término N de la serie 3, 14, 39, 84…

Dado un número N. La tarea es escribir un programa para encontrar el N-ésimo término en la siguiente serie: 
 

3, 14, 39, 84…

Ejemplos: 
 

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

Input: 4
Output: 84

Fórmula para calcular el N-ésimo término de la serie: 
 

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

A continuación se muestra la implementación requerida: 
 

// 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 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 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# 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 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
?>

<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>

39

Complejidad de tiempo : O (1) porque realiza operaciones constantes

Espacio Auxiliar: O(1)