Programa para hallar el N-ésimo término de la serie 0, 5, 14, 27, 44, ……..

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

0, 5, 14, 27, 44…(Término N)

Ejemplos: 
 

Input: N = 4
Output: 27
For N = 4,
Nth term = ( 2 * N * N - N - 1 ) 
         = ( 2 * 4 * 4 - 4 - 1 ) 
         = 27

Input: N = 10
Output: 188

Enfoque: El enésimo término generalizado de esta serie: 
 

Nth Term: 2 * N * N - N - 1 

A continuación se muestra la implementación requerida: 
 

// CPP program to find N-th term of the series:
// 0, 5, 14, 27, 44 ...
#include <iostream>
#include <math.h>
using namespace std;
 
// Calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 2) - n - 1;
}
 
// Driver code
int main()
{
    int N = 4;
 
    cout << nthTerm(N);
 
    return 0;
}

// Java program to find N-th term of the series:
// 0, 5, 14, 27, 44 ...
import java.util.*;
 
class solution
{
 
// Calculate Nth term of series
static int nthTerm(int n)
{
    return 2 *(int)Math.pow(n, 2) - n - 1;
}
 
// Driver code
public static void main(String arr[])
{
    int N = 4;
 
    System.out.println(nthTerm(N));
}
}
//This code is contributed by Surendra_Gangwar

# Python 3 program to find
# N-th term of the series:
# 0, 5, 14, 27, 44 ...
 
# Calculate Nth term of series
def nthTerm(n):
 
    return 2 * pow(n, 2) - n - 1
 
# Driver code
if __name__ == "__main__":
    N = 4
 
    print(nthTerm(N))
 
# This code is contributed
# by ChitraNayal

// C# program to find
// N-th term of the series:
// 0, 5, 14, 27, 44 ...
using System;
class GFG
{
 
// Calculate Nth term of series
static int nthTerm(int n)
{
    return 2 * (int)Math.Pow(n, 2) - n - 1;
}
 
// Driver code
static public void Main ()
{
    int N = 4;
     
    Console.Write(nthTerm(N));
}
}
 
// This code is contributed by Raj

<?php
// PHP program to find
// N-th term of the series:
// 0, 5, 14, 27, 44 ...
 
// Calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 2) - $n - 1;
}
 
// Driver code
$N = 4;
 
echo nthTerm($N);
 
// This code is contributed
// by Akanksha Rai(Abby_akku)
?>

<script>
// JavaScript program to find N-th term of the series:
// 0, 5, 14, 27, 44 ...
 
// Calculate Nth term of series
function nthTerm( n)
{
    return 2 * Math.pow(n, 2) - n - 1;
}
 
// Driver code
 
    let N = 4;
   document.write( nthTerm(N) );
 
// This code contributed by aashish1995
 
</script>

27

Complejidad temporal: O(1)
Nota: La suma de n términos de la serie anterior (Sn) es: