Programa para hallar el N-ésimo término de la serie 3, 20, 63, 144, 230, ……

Dada una serie y un número N. La tarea es encontrar el N-ésimo término de la serie dada:
 

3, 20, 63, 144, 230…..

Ejemplos: 
 

Input: N = 4
Output: 144
When n = 4
nth term = 2 ( n * n * n ) + n * n
         = 2 ( 4 * 4 * 4 ) + 4 * 4
         = 144

Input: N = 10
Output: 2100

Planteamiento: Podemos encontrar el término general (Tn) de la serie dada. 

A continuación se muestra la implementación requerida: 
 

// CPP program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
#include <iostream>
#include <math.h>
using namespace std;
 
// calculate Nth term of series
int nthTerm(int n)
{
    return 2 * pow(n, 3) + pow(n, 2);
}
 
// Driver code
int main()
{
    int N = 3;
 
    cout << nthTerm(N);
 
    return 0;
}

// Java program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
import java.util.*;
 
class solution
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    //return final sum
    return 2 *(int)Math.pow(n, 3) + (int)Math.pow(n, 2);
}
 
// Driver code
public static void main(String arr[])
{
    int N = 3;
 
System.out.println(nthTerm(N));
 
}
 
}
//This code is contributed by Surendra_Gangwar

# Python program to find
# N-th term of the series:
# 3, 20, 63, 144, 230 .....
 
# calculate Nth term of series
def nthTerm(n) :
 
    return 2 * pow(n, 3) + pow(n, 2)
 
# Driver code
if __name__ == "__main__" :
 
    N = 3
    print(nthTerm(N))
 
# This code is contributed
# by ANKITRAI1

// C# program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
using System;
 
class solution
{
 
// calculate Nth term of series
static int nthTerm(int n)
{
    //return final sum
    return 2 *(int)Math.Pow(n, 3) + (int)Math.Pow(n, 2);
}
 
// Driver code
public static void Main()
{
    int N = 3;
 
Console.WriteLine(nthTerm(N));
 
}
 
}
//This code is contributed by  Shashank

<?php
// PHP program to find
// N-th term of the series:
// 3, 20, 63, 144, 230 .....
 
// calculate Nth term of series
function nthTerm($n)
{
    return 2 * pow($n, 3) +
               pow($n, 2);
}
 
// Driver code
$N = 3;
echo nthTerm($N);
 
//This code is contributed by Shashank
?>

<script>
 
// JavaScript program to find N-th term of the series:
// 3, 20, 63, 144, 230 .....
 
// calculate Nth term of series
function nthTerm( n)
{
    return 2 * Math.pow(n, 3) + Math.pow(n, 2);
}
 
 
// Driver code
 
    let N = 3;
   document.write( nthTerm(N) );
 
// This code contributed by aashish1995
 
</script>

63

Complejidad de tiempo: O(1)

Espacio Auxiliar : O(1) ya que usa variables constantes